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273 117.334 182 0 273 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 334 29 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 560 367 dictionary 0 0 560 367 dictionary 0 0 560 367 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 602 475 0 475 200.667 475 0 316.666 200.667 316.666 200.667 475 401.333 475 200.667 316.666 401.333 316.666 401.333 475 602 475 401.333 316.666 602 316.666 0 316.666 200.667 316.666 0 158.334 200.667 158.334 200.667 316.666 401.333 316.666 200.667 158.334 401.333 158.334 401.333 316.666 602 316.666 401.333 158.334 602 158.334 0 158.334 200.667 158.334 0 0 200.667 0 200.667 158.334 401.333 158.334 200.667 0 401.333 0 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1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 718 29 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 0 0 526 276 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 0 0 526 276 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 642 352 0 352 214 352 0 234.667 214 234.667 214 352 428 352 214 234.667 428 234.667 428 352 642 352 428 234.667 642 234.667 0 234.667 214 234.667 0 117.333 214 117.333 214 234.667 428 234.667 214 117.333 428 117.333 428 234.667 642 234.667 428 117.333 642 117.333 0 117.333 214 117.333 0 0 214 0 214 117.333 428 117.333 214 0 428 0 428 117.333 642 117.333 428 0 642 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 718 29 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 0 0 526 276 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 0 0 526 276 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 642 352 0 352 214 352 0 234.667 214 234.667 214 352 428 352 214 234.667 428 234.667 428 352 642 352 428 234.667 642 234.667 0 234.667 214 234.667 0 117.333 214 117.333 214 234.667 428 234.667 214 117.333 428 117.333 428 234.667 642 234.667 428 117.333 642 117.333 0 117.333 214 117.333 0 0 214 0 214 117.333 428 117.333 214 0 428 0 428 117.333 642 117.333 428 0 642 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 718 29 dictionary 0 0 526 276 dictionary 0 0 526 276 dictionary 0 0 526 276 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 273 352 0 352 90.9997 352 0 234.666 90.9997 234.666 90.9997 352 182 352 90.9997 234.666 182 234.666 182 352 273 352 182 234.666 273 234.666 0 234.666 90.9997 234.666 0 117.334 90.9997 117.334 90.9997 234.666 182 234.666 90.9997 117.334 182 117.334 182 234.666 273 234.666 182 117.334 273 117.334 0 117.334 90.9997 117.334 0 0 90.9997 0 90.9997 117.334 182 117.334 90.9997 0 182 0 182 117.334 273 117.334 182 0 273 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 334 29 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 273 352 0 352 90.9997 352 0 234.666 90.9997 234.666 90.9997 352 182 352 90.9997 234.666 182 234.666 182 352 273 352 182 234.666 273 234.666 0 234.666 90.9997 234.666 0 117.334 90.9997 117.334 90.9997 234.666 182 234.666 90.9997 117.334 182 117.334 182 234.666 273 234.666 182 117.334 273 117.334 0 117.334 90.9997 117.334 0 0 90.9997 0 90.9997 117.334 182 117.334 90.9997 0 182 0 182 117.334 273 117.334 182 0 273 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 334 29 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 <styles> <fill-style fill-type="none"/> <dash-style pattern="none"/> <shadow-style opacity="0" radius="0"/> </styles> dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 CPTextProperty chalkboard CPStrokePatternProperty CPCellOpacityProperty 1 CPFillProperty CPBorderOpacityProperty 1 TableNodeSnapShotProperty1 1.2 273 352 0 352 90.9997 352 0 234.666 90.9997 234.666 90.9997 352 182 352 90.9997 234.666 182 234.666 182 352 273 352 182 234.666 273 234.666 0 234.666 90.9997 234.666 0 117.334 90.9997 117.334 90.9997 234.666 182 234.666 90.9997 117.334 182 117.334 182 234.666 273 234.666 182 117.334 273 117.334 0 117.334 90.9997 117.334 0 0 90.9997 0 90.9997 117.334 182 117.334 90.9997 0 182 0 182 117.334 273 117.334 182 0 273 0 CPBorderColorProperty g1 version 1 CPVerticalAlignmentProperty 2 CPStrokeWidthProperty 2 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 334 29 dictionary 0 0 249 211 dictionary 0 0 249 211 dictionary 0 0 249 211 <styles> <fill-style 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vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8366" size="60 45" file="thumbs/st0.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard">Constant Acceleration</content> </bullet> <bullet level="1" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="28" font-name="Chalkboard">kinematic equations</content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="78 13" size="644 93" vertical-alignment="tracks-master"/> <g id="g-1" transformation="1 0 0 1 115.5 138"> <line tail="262 141.269" stroke-color="g1 0.54" head="262 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="300 141.269" stroke-color="g1 0.54" head="300 475" 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font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 281 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 320 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 359 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">40</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 398 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">50</content> </textbox> <textbox 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pattern="3 3"/> </styles> </line> <line tail="208 477.857" head="736.106 477.857"/> <line tail="301.455 466" head="301.455 484.848"/> <line tail="340.455 467" head="340.455 485.848"/> <line tail="379.455 467" head="379.455 485.848"/> <line tail="418.455 467" head="418.455 485.848"/> <line tail="457.455 466" head="457.455 484.848"/> <line tail="496.455 466" head="496.455 484.848"/> <line tail="535.455 466" head="535.455 484.848"/> <line tail="574.455 466" head="574.455 484.848"/> <line tail="613.455 466" head="613.455 484.848"/> <line tail="652.455 466" head="652.455 484.848"/> <line tail="262.455 467" head="262.455 485.848"/> <textbox grow-horizontally="true" size="33 31" transformation="1 0 0 1 244.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 281 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 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486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">70</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 515 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">80</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 554 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">90</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 209 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">0</content> </textbox> <textbox grow-horizontally="true" size="55 33" transformation="1 0 0 1 480.5 523"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> (s)</content> </textbox> <line tail="222 138" head="222 480.813"/> <textbox grow-horizontally="true" size="33 31" transformation="1 0 0 1 179.5 365"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 269"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 173"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="85 33" transformation="1 0 0 1 115.5 241"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> (m/s)</content> </textbox> <line tail="693 143.269" stroke-color="g1 0.54" head="693 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="735 142.269" stroke-color="g1 0.54" head="735 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <image byte-size="1939" display-name="pasted.pdf" transformation="1 0 0 1 221.5 139" lock-aspect-ratio="true" image-data="pasted2.pdf" opacity="0.570895" natural-size="515 292"/> <line tail="694.455 466" head="694.455 484.848"/> <line tail="736.455 468" head="736.455 486.848"/> <textbox grow-horizontally="true" size="47 31" transformation="1 0 0 1 594.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">100</content> </textbox> <textbox grow-horizontally="true" size="42 31" transformation="1 0 0 1 636 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">110</content> </textbox> <textbox grow-horizontally="true" size="46 31" transformation="1 0 0 1 673 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">120</content> </textbox> <textbox grow-horizontally="true" size="47 31" transformation="1 0 0 1 711.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">130</content> </textbox> </g> <textbox size="410.5 40" transformation="1 0 0 1 253.5 96"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Skytrain Velocity</content> </textbox> <g transformation="1 0 0 1 224 242"> <line tail="495 242" head="224 477" stroke-width="3"/> <line tail="552 243" head="733 478" stroke-width="3"/> <line tail="494 242" head="551 242"/> </g> <g transformation="1 0 0 1 281 250"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 281 262"> <content font-color="g1" 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543 385"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <![CDATA[Negative a]]> </content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8354" size="60 45" file="thumbs/st2.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="textbox-4"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-5"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-4"> <drawables> <textbox size="644 72" 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</textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 269"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 173"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="85 33" transformation="1 0 0 1 115.5 241"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> (m/s)</content> </textbox> <line tail="693 143.269" stroke-color="g1 0.54" head="693 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="735 142.269" stroke-color="g1 0.54" head="735 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <image byte-size="1939" 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font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">130</content> </textbox> </g> <textbox size="410.5 40" transformation="1 0 0 1 253.5 96"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Skytrain Velocity</content> </textbox> <g transformation="1 0 0 1 224 242"> <line tail="495 242" head="224 477" stroke-width="3"/> <line tail="552 243" head="733 478" stroke-width="3"/> <line tail="494 242" head="551 242"/> </g> <g transformation="1 0 0 1 281 250"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 281 262"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 347 250"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox grow-horizontally="true" size="181 40" transformation="1 0 0 1 243.5 200"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">acceleration</content> </textbox> <line tail="418 308.927" head="418 430.829" opacity="0.623134"/> <line tail="282.006 430" head="418.01 430" opacity="0.623134"/> <textbox grow-horizontally="true" size="232 40" transformation="1 0 0 1 354 358"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a= 0.35 (m/s)/s</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8348" size="60 45" file="thumbs/st3.tiff"/> </thumbnails> 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pattern="3 3"/> </styles> </line> <line tail="417 141.269" stroke-color="g1 0.54" head="417 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="456 143.269" stroke-color="g1 0.54" head="456 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="495 143.269" stroke-color="g1 0.54" head="495 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="534 141.269" stroke-color="g1 0.54" head="534 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="573 141.269" stroke-color="g1 0.54" head="573 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="612 141.269" stroke-color="g1 0.54" head="612 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="651 142.269" stroke-color="g1 0.54" head="651 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="208 477.857" head="736.106 477.857"/> <line tail="301.455 466" head="301.455 484.848"/> <line tail="340.455 467" head="340.455 485.848"/> <line tail="379.455 467" head="379.455 485.848"/> <line tail="418.455 467" head="418.455 485.848"/> <line tail="457.455 466" head="457.455 484.848"/> <line tail="496.455 466" head="496.455 484.848"/> <line tail="535.455 466" head="535.455 484.848"/> <line tail="574.455 466" head="574.455 484.848"/> <line tail="613.455 466" head="613.455 484.848"/> <line tail="652.455 466" head="652.455 484.848"/> <line tail="262.455 467" head="262.455 485.848"/> <textbox grow-horizontally="true" size="33 31" transformation="1 0 0 1 244.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 281 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 320 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 359 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">40</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 398 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">50</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 437 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">60</content> </textbox> <textbox grow-horizontally="true" size="37 31" transformation="1 0 0 1 476.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">70</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 515 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">80</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 554 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">90</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 209 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">0</content> </textbox> <textbox grow-horizontally="true" size="55 33" transformation="1 0 0 1 480.5 523"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> (s)</content> </textbox> <line tail="222 138" head="222 480.813"/> <textbox grow-horizontally="true" size="33 31" transformation="1 0 0 1 179.5 365"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 269"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 0 0 1 177 173"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="85 33" transformation="1 0 0 1 115.5 241"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> (m/s)</content> </textbox> <line tail="693 143.269" stroke-color="g1 0.54" head="693 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="735 142.269" stroke-color="g1 0.54" head="735 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <image byte-size="1939" display-name="pasted.pdf" transformation="1 0 0 1 221.5 139" lock-aspect-ratio="true" image-data="pasted2.pdf" opacity="0.570895" natural-size="515 292"/> <line tail="694.455 466" head="694.455 484.848"/> <line tail="736.455 468" head="736.455 486.848"/> <textbox grow-horizontally="true" size="47 31" transformation="1 0 0 1 594.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">100</content> </textbox> <textbox grow-horizontally="true" size="42 31" transformation="1 0 0 1 636 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">110</content> </textbox> <textbox grow-horizontally="true" size="46 31" transformation="1 0 0 1 673 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">120</content> </textbox> <textbox grow-horizontally="true" size="47 31" transformation="1 0 0 1 711.5 486"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">130</content> </textbox> </g> <textbox size="410.5 40" transformation="1 0 0 1 253.5 96"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Skytrain Velocity</content> </textbox> <g transformation="1 0 0 1 224 242"> <line tail="495 242" head="224 477" stroke-width="3"/> <line tail="552 243" head="733 478" stroke-width="3"/> <line tail="494 242" head="551 242"/> </g> <g transformation="1 0 0 1 281 250"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 281 262"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 347 250"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox grow-horizontally="true" size="181 40" transformation="1 0 0 1 243.5 200"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">acceleration</content> </textbox> <line tail="418 308.927" head="418 430.829" opacity="0.623134"/> <line tail="282.006 430" head="418.01 430" opacity="0.623134"/> <textbox grow-horizontally="true" size="203 56" transformation="1 0 0 1 353.5 342"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a= 0.35 m/s<span font-superscript="1">2</span> </content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:revolve" duration="1"> <property name="direction" value="13"/> </transition-style> <thumbnails> <thumbnail byte-size="8352" size="60 45" file="thumbs/st4.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-4"> <drawables> <textbox size="644 72" transformation="1 0 0 1 78 13"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard">Going the Other Way</content> </textbox> <line tail="262 141.269" stroke-color="g1 0.54" head="262 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="300 141.269" stroke-color="g1 0.54" head="300 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="339 141.269" stroke-color="g1 0.54" head="339 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="378 141.269" stroke-color="g1 0.54" head="378 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="417 141.269" stroke-color="g1 0.54" head="417 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="456 143.269" stroke-color="g1 0.54" head="456 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="495 143.269" stroke-color="g1 0.54" head="495 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="534 141.269" stroke-color="g1 0.54" head="534 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="573 141.269" stroke-color="g1 0.54" head="573 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="612 141.269" stroke-color="g1 0.54" head="612 475" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="651 142.269" stroke-color="g1 0.54" head="651 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="222 138" head="222 480.813"/> <textbox grow-horizontally="true" size="48 31" transformation="1 0 0 1 171 268"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">–10</content> </textbox> <textbox grow-horizontally="true" size="52 31" transformation="1 0 0 1 170 360"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">–20</content> </textbox> <textbox grow-horizontally="true" size="52 31" transformation="1 0 0 1 170 461"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">–30</content> </textbox> <textbox grow-horizontally="true" size="85 33" transformation="1 0 0 1 131.5 135"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> (m/s)</content> </textbox> <line tail="693 143.269" stroke-color="g1 0.54" head="693 477" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <line tail="735 142.269" stroke-color="g1 0.54" head="735 476" stroke-width="1"> <styles> <dash-style pattern="3 3"/> </styles> </line> <image byte-size="1939" display-name="pasted.pdf" transformation="1 0 0 1 219.5 187" lock-aspect-ratio="true" image-data="pasted2.pdf" opacity="0.570895" natural-size="515 292"/> <g transformation="1 0 0 1 209 112"> <line tail="209 190.143" head="737.106 190.143"/> <line tail="302.455 202" head="302.455 183.152"/> <line tail="341.455 201" head="341.455 182.152"/> <line tail="380.455 201" head="380.455 182.152"/> <line tail="419.455 201" head="419.455 182.152"/> <line tail="458.455 202" head="458.455 183.152"/> <line tail="497.455 202" head="497.455 183.152"/> <line tail="536.455 202" head="536.455 183.152"/> <line tail="575.455 202" head="575.455 183.152"/> <line tail="614.455 202" head="614.455 183.152"/> <line tail="653.455 202" head="653.455 183.152"/> <line tail="263.455 201" head="263.455 182.152"/> <textbox grow-horizontally="true" size="33 31" transformation="1 8.74228e-08 -8.74228e-08 1 245.5 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">10</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 282 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">20</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 321 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">30</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 360 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">40</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 399 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">50</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 438 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">60</content> </textbox> <textbox grow-horizontally="true" size="37 31" transformation="1 8.74228e-08 -8.74228e-08 1 477.5 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">70</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 516 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">80</content> </textbox> <textbox grow-horizontally="true" size="38 31" transformation="1 8.74228e-08 -8.74228e-08 1 555 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">90</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 8.74228e-08 -8.74228e-08 1 210 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">0</content> </textbox> <textbox grow-horizontally="true" size="55 33" transformation="1 8.74228e-08 -8.74228e-08 1 481.5 112"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> (s)</content> </textbox> <line tail="695.455 202" head="695.455 183.152"/> <line tail="737.455 200" head="737.455 181.152"/> <textbox grow-horizontally="true" size="47 31" transformation="1 8.74228e-08 -8.74228e-08 1 595.5 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">100</content> </textbox> <textbox grow-horizontally="true" size="42 31" transformation="1 8.74228e-08 -8.74228e-08 1 637 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">110</content> </textbox> <textbox grow-horizontally="true" size="46 31" transformation="1 8.74228e-08 -8.74228e-08 1 674 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">120</content> </textbox> <textbox grow-horizontally="true" size="47 31" transformation="1 8.74228e-08 -8.74228e-08 1 712.5 151"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">130</content> </textbox> </g> <g id="g-4" transformation="1 0 0 1 222 190"> <line tail="482 439" stroke-color="1 0.749244 0.738389" head="222 190" stroke-width="3"/> <line tail="536 439" stroke-color="1 0.749244 0.738389" head="736 190" stroke-width="3"/> <line tail="480 439" head="537 439" stroke-color="1 0.749244 0.738389"/> </g> <g transformation="1 0 0 1 415 233"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 415 245"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 481 233"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox id="textbox-7" size="118 40" transformation="0.573577 -0.819152 0.819152 0.573577 600.776 369.858"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Positive</content> </textbox> <textbox id="textbox-8" size="134 40" transformation="0.731354 0.681998 -0.681998 0.731354 292.639 272.679"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Negative</content> </textbox> <textbox id="textbox-6" grow-horizontally="true" size="581 42" transformation="1 0 0 1 125.5 84"> <content font-color="1 0.966121 0.0237542" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">When is <span font-name="Palatino-Italic">a</span> positive, when is <span font-name="Palatino-Italic">a</span> negative?</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:3D-cube" duration="1"> <property name="direction" value="12"/> </transition-style> <thumbnails> <thumbnail byte-size="8350" size="60 45" file="thumbs/st5.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> <events> <build type="apple:move in" duration="1" target-id="textbox-6"> <property name="direction" value="1"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="g-4"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:move in" duration="1" target-id="textbox-7"> <property name="direction" value="6"/> <property name="animationType" value="1"/> </build> <build type="apple:move in" duration="1" target-id="textbox-8"> <property name="direction" value="4"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-4"> <drawables> <line tail="69 467.857" head="447.124 467.857"/> <line tail="83 128" head="83 470.813"/> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 3 231"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <![CDATA[ ]]> </content> </textbox> <line tail="164 367" head="433 160" stroke-width="4"/> <g id="g-5" transformation="1 0 0 1 39.5 343"> <textbox grow-horizontally="true" size="39 46" transformation="1 0 0 1 39.5 343"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <line tail="81.2459 367" opacity="0.242537" head="158.518 367" stroke-width="1"/> </g> <g id="g-6" transformation="1 0 0 1 37 137"> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 37 137"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <line tail="83.2459 160" opacity="0.242537" head="431.48 160" stroke-width="1"/> </g> <g id="g-7" transformation="1 0 0 1 144 369"> <line tail="164 467.55" opacity="0.242537" head="164 369" stroke-width="1"/> <textbox grow-horizontally="true" size="38 46" transformation="1 0 0 1 144 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> </g> <g id="g-8" transformation="1 0 0 1 410 166"> <line tail="432 472.729" opacity="0.242537" head="432 166" stroke-width="1"/> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 410 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> </g> <g id="g-9" transformation="1 0 0 1 170.601 475"> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 276 475"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <![CDATA[ ]]> </content> </textbox> <line tail="170.601 492" opacity="0.242537" head="416.434 492" stroke-width="2"> <styles> <line-head-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> </g> <g transformation="1 0 0 1 177 213"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 177 225"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 243 213"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox id="textbox-10" size="275.5 57" transformation="1 0 0 1 465.5 251"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= <span font-size="24" font-superscript="1" font-kerning="-10.35">1</span> <span font-kerning="-10.35">/</span> <span font-size="24" font-superscript="-1">2</span> <span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-10.3704">1</span> <span font-kerning="-10.3704">/</span> <span font-size="24" font-superscript="-1">2</span> <span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <textbox id="textbox-9" grow-horizontally="true" size="271 57" transformation="1 0 0 1 482.5 175"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= <span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>(<span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span> <span font-name="ComicSansMS">)t</span> </content> </textbox> <g id="g-10" transformation="1 0 0 1 166 367"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="2.65 0 0 1 166 367" opacity="0.317164"> <styles> <fill-style fill-type="color" fill-color="g1"/> </styles> </shape> <textbox grow-horizontally="true" size="44 51" transformation="1 0 0 1 261 401.5"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="12" font-name="Helvetica"> <span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span> <span font-size="32" font-name="Chalkboard">t</span> </content> </textbox> </g> <g id="g-11" transformation="1 0 0 1 167 161"> <shape path="M 0 100 L 100 100 L 0 0 Z M 0 100" transformation="-2.64 -2.30796e-07 -1.81839e-07 2.08 431 161" opacity="0.406716"> <styles> <fill-style fill-type="color" fill-color="g1"/> </styles> </shape> <textbox grow-horizontally="true" size="125 57" transformation="1 0 0 1 280.5 281.5"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="12" font-name="Helvetica"> <span font-size="24" font-name="Chalkboard" font-superscript="1" font-kerning="-7.40741">1</span> <span font-size="32" font-name="Chalkboard" font-kerning="-7.40741">/</span> <span font-size="24" font-name="Chalkboard" font-superscript="-1">2</span> <span font-size="32" font-name="Chalkboard">(</span> <span font-size="24" font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span> <span font-size="32" font-name="ComicSansMS">)t</span> </content> </textbox> </g> <g id="g-12" transformation="1 0 0 1 454.5 315"> <textbox size="275.5 46" transformation="1 0 0 1 454.5 331"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= ———— <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <textbox grow-horizontally="true" size="64 46" transformation="1 0 0 1 575 315"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 0 0 1 592.5 357"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> <textbox grow-horizontally="true" size="182 61" transformation="1 0 0 1 493 -9"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f </span> <span font-name="ComicSansMS">=</span> <![CDATA[ ]]> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i </span> <span font-name="ComicSansMS"> + at</span> </content> </textbox> <textbox size="178 120" transformation="1 0 0 1 119 8"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">The Kinematic Equations</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8346" size="60 45" file="thumbs/st6.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="g-5"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-6"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-7"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-8"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-9"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-10"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-11"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-9"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-10"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-12"> <property name="animationType" value="1"/> </build> </events> </slide> <slide id="slide-1" master-slide-id="master-slide-4"> <drawables> <line tail="69 467.857" head="447.124 467.857"/> <line tail="83 128" head="83 470.813"/> <line tail="164 367" opacity="0.518657" head="433 160" stroke-width="4"/> <textbox grow-horizontally="true" size="39 46" transformation="1 0 0 1 38.5 346"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 37 137"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <line tail="85.2459 270" opacity="0.242537" head="162.518 270" stroke-width="1"/> <line tail="164 467.55" opacity="0.242537" head="164 270.463" stroke-width="1"/> <line tail="432 472.729" opacity="0.242537" head="432 166" stroke-width="1"/> <textbox grow-horizontally="true" size="38 46" transformation="1 0 0 1 144 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 410 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 272 475"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <![CDATA[ ]]> </content> </textbox> <line tail="166.601 492" head="428.619 492" opacity="0.242537"> <styles> <line-head-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <g transformation="1 0 0 1 454.5 315"> <textbox size="275.5 46" transformation="1 0 0 1 454.5 331"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= ———— <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <g transformation="1 0 0 1 575 315"> <textbox grow-horizontally="true" size="64 46" transformation="1 0 0 1 575 315"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 0 0 1 592.5 357"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> </g> <line tail="163.957 271" head="432.971 271" stroke-width="4"/> <textbox grow-horizontally="true" size="69 46" transformation="1 0 0 1 23.5 240"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">avg</span> <![CDATA[ ]]> </content> </textbox> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="2.64 0 0 1.97 167 269" opacity="0.33209"> <styles> <fill-style fill-type="color" fill-color="g1"/> </styles> </shape> <g transformation="1 0 0 1 506.5 426"> <textbox grow-horizontally="true" size="169 51" transformation="1 0 0 1 506.5 448"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">avg</span> <span font-size="32">= ————</span> </content> </textbox> <g transformation="1 0 0 1 594 426"> <textbox grow-horizontally="true" size="64 46" transformation="1 0 0 1 594 426"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 0 0 1 611.5 468"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> </g> <textbox grow-horizontally="true" size="182 61" transformation="1 0 0 1 493 -9"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f </span> <span font-name="ComicSansMS">=</span> <![CDATA[ ]]> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i </span> <span font-name="ComicSansMS"> + at</span> </content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8344" size="60 45" file="thumbs/st7.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-4"> <drawables> <line tail="69 467.857" head="447.124 467.857"/> <line tail="83 128" head="83 470.813"/> <line tail="164 367" opacity="0.518657" head="433 160" stroke-width="4"/> <line tail="164 467.55" opacity="0.242537" head="164 369.43" stroke-width="1"/> <line tail="432 472.729" opacity="0.242537" head="432 166" stroke-width="1"/> <textbox grow-horizontally="true" size="38 46" transformation="1 0 0 1 144 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 410 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 272 475"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <![CDATA[ ]]> </content> </textbox> <line tail="166.601 492" head="428.619 492" opacity="0.242537"> <styles> <line-head-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <textbox grow-horizontally="true" size="69 46" transformation="1 0 0 1 23.5 240"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">avg</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="39 46" transformation="1 0 0 1 39.5 343"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <line tail="81.2459 367" opacity="0.242537" head="490.375 367" stroke-width="1"/> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 37 137"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <line tail="83.2459 160" opacity="0.242537" head="469.48 160" stroke-width="1"/> <textbox grow-horizontally="true" size="137 55" transformation="1 0 0 1 349.5 252"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i </span>= at</content> </textbox> <line tail="448.601 173" head="448.601 358.313" opacity="0.242537"> <styles> <line-head-style is-filled="false"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <g transformation="1 0 0 1 177 213"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 177 225"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 243 213"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox id="textbox-11" grow-horizontally="true" size="296 57" transformation="1 0 0 1 490 188"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x = <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>(<span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span> <span font-name="ComicSansMS">)t</span> </content> </textbox> <textbox id="textbox-12" grow-horizontally="true" size="266 57" transformation="1 0 0 1 504 284"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x = <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>(<span font-size="31" font-name="ComicSansMS">at</span> <span font-name="ComicSansMS">)t</span> </content> </textbox> <textbox id="textbox-13" grow-horizontally="true" size="251 73" transformation="1 0 0 1 511.5 364"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x = <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>a<span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="1">2</span> </content> </textbox> <textbox id="textbox-15" grow-horizontally="true" size="296 73" transformation="1 0 0 1 488 443"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">x = x<span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span> + <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>a<span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="1">2</span> </content> </textbox> <textbox grow-horizontally="true" size="182 61" transformation="1 0 0 1 493 -9"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f </span> <span font-name="ComicSansMS">=</span> <![CDATA[ ]]> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i </span> <span font-name="ComicSansMS"> + at</span> </content> </textbox> <g transformation="1 8.74228e-08 -8.74228e-08 1 445.5 66"> <textbox size="275.5 46" transformation="1 8.74228e-08 -8.74228e-08 1 445.5 82"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= ———— <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <g transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <textbox grow-horizontally="true" size="64 46" transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 8.74228e-08 -8.74228e-08 1 583.5 108"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> </g> <textbox id="textbox-14" grow-horizontally="true" size="41 40" transformation="1 0 0 1 471.5 427"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">or</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8348" size="60 45" file="thumbs/st8.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="textbox-11"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-12"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-13"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-14"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-15"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-4"> <drawables> <line tail="69 467.857" head="447.124 467.857"/> <line tail="83 128" head="83 470.813"/> <line tail="164 367" opacity="0.518657" head="433 160" stroke-width="4"/> <line tail="164 467.55" opacity="0.242537" head="164 369.43" stroke-width="1"/> <line tail="432 472.729" opacity="0.242537" head="432 166" stroke-width="1"/> <textbox grow-horizontally="true" size="38 46" transformation="1 0 0 1 144 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 410 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 272 475"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <![CDATA[ ]]> </content> </textbox> <line tail="166.601 492" head="428.619 492" opacity="0.242537"> <styles> <line-head-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <textbox grow-horizontally="true" size="69 46" transformation="1 0 0 1 23.5 240"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">avg</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="39 46" transformation="1 0 0 1 39.5 343"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <line tail="81.2459 367" opacity="0.242537" head="490.375 367" stroke-width="1"/> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 37 137"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <line tail="83.2459 160" opacity="0.242537" head="469.48 160" stroke-width="1"/> <textbox grow-horizontally="true" size="137 55" transformation="1 0 0 1 349.5 252"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i </span>= at</content> </textbox> <line tail="448.601 173" head="448.601 358.313" opacity="0.242537"> <styles> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <g transformation="1 0 0 1 177 213"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 177 225"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 243 213"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox id="textbox-16" grow-horizontally="true" size="137 55" transformation="1 0 0 1 540.5 302"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i </span>= at</content> </textbox> <g id="g-13" transformation="1 0 0 1 473.5 176"> <textbox size="275.5 46" transformation="1 8.74228e-08 -8.74228e-08 1 473.5 194"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span>= ————<span font-name="LucidaGrande">∆</span>x</content> </textbox> <textbox grow-horizontally="true" size="64 46" transformation="1 8.74228e-08 -8.74228e-08 1 580 225"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 8.74228e-08 -8.74228e-08 1 595.5 176"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> <g id="g-14" transformation="1 0 0 1 476 356"> <textbox grow-horizontally="true" size="246 55" transformation="1 0 0 1 476 372"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i </span>= a————<span font-name="LucidaGrande">∆</span>x</content> </textbox> <textbox grow-horizontally="true" size="64 46" transformation="1 8.74228e-08 -8.74228e-08 1 606 393"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 8.74228e-08 -8.74228e-08 1 621.5 356"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> <textbox id="textbox-17" grow-horizontally="true" size="281 55" transformation="1 0 0 1 471.5 439"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">(v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>)<span font-name="ComicSansMS">(v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">f</span> <span font-size="24" font-name="ComicSansMS">+</span> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>)= 2a<span font-name="LucidaGrande">∆</span>x</content> </textbox> <textbox id="textbox-18" grow-horizontally="true" size="186 66" transformation="1 0 0 1 518 506"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1" font-kerning="-19.2593">f</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1" font-kerning="-14.8148">i</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span>= 2a<span font-name="LucidaGrande">∆</span>x</content> </textbox> <g transformation="1 8.74228e-08 -8.74228e-08 1 445.5 66"> <textbox size="275.5 46" transformation="1 8.74228e-08 -8.74228e-08 1 445.5 82"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= ———— <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <g transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <textbox grow-horizontally="true" size="64 46" transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 8.74228e-08 -8.74228e-08 1 583.5 108"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> </g> <textbox grow-horizontally="true" size="182 61" transformation="1 0 0 1 493 -9"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f </span> <span font-name="ComicSansMS">=</span> <![CDATA[ ]]> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i </span> <span font-name="ComicSansMS"> + at</span> </content> </textbox> <textbox grow-horizontally="true" size="246 60" transformation="1 0 0 1 123 2"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x = <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>a<span font-name="ComicSansMS">t</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span> </content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8344" size="60 45" file="thumbs/st9.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="g-13"> <property name="animationType" value="1"/> </build> <build type="apple:move in" duration="1" target-id="textbox-16"> <property name="direction" value="0"/> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-14"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-17"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-18"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-11"> <drawables> <body size="355 370" visibility="tracks-master" vertical-alignment="tracks-master" location="438 230" id="body-1"/> <line tail="69 467.857" head="447.124 467.857"/> <line tail="83 128" head="83 470.813"/> <line tail="164 367" opacity="0.518657" head="433 160" stroke-width="4"/> <line tail="164 467.55" opacity="0.242537" head="164 369.43" stroke-width="1"/> <line tail="432 472.729" opacity="0.242537" head="432 166" stroke-width="1"/> <textbox grow-horizontally="true" size="38 46" transformation="1 0 0 1 144 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 410 469"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="32 33" transformation="1 0 0 1 272 475"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">t</span> <![CDATA[ ]]> </content> </textbox> <line tail="166.601 492" head="428.619 492" opacity="0.242537"> <styles> <line-head-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> <line-tail-style is-filled="true" path="M 0 0 L 3 6 L 6 0 L 3 1.5 Z M 0 0" match-point="3 1.5"/> </styles> </line> <g transformation="1 8.74228e-08 -8.74228e-08 1 445.5 66"> <textbox size="275.5 46" transformation="1 8.74228e-08 -8.74228e-08 1 445.5 82"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x= ———— <span font-size="24" font-superscript="1" font-kerning="-10.35"> <![CDATA[ ]]> </span> <span font-size="24" font-name="ComicSansMS">t</span> </content> </textbox> <g transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <textbox grow-horizontally="true" size="64 46" transformation="1 8.74228e-08 -8.74228e-08 1 566 66"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="ComicSansMS">v<span font-superscript="-1">i</span>+v<span font-superscript="-1">f</span> </content> </textbox> <textbox grow-horizontally="true" size="29 40" transformation="1 8.74228e-08 -8.74228e-08 1 583.5 108"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">2</content> </textbox> </g> </g> <textbox grow-horizontally="true" size="69 46" transformation="1 0 0 1 23.5 240"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">avg</span> <![CDATA[ ]]> </content> </textbox> <textbox grow-horizontally="true" size="39 46" transformation="1 0 0 1 39.5 343"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i</span> <![CDATA[ ]]> </content> </textbox> <line tail="81.2459 367" opacity="0.242537" head="490.375 367" stroke-width="1"/> <textbox grow-horizontally="true" size="44 46" transformation="1 0 0 1 37 137"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f</span> <![CDATA[ ]]> </content> </textbox> <line tail="83.2459 160" opacity="0.242537" head="469.48 160" stroke-width="1"/> <g transformation="1 0 0 1 177 213"> <textbox grow-horizontally="true" size="70 40" transformation="1 0 0 1 177 225"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">a = </content> </textbox> <textbox grow-horizontally="true" size="42 70" transformation="1 0 0 1 243 213"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-underline="true" paragraph-line-spacing="-10" font-name="Chalkboard"> <![CDATA[dv ]]> <span font-underline="false">dt</span> </content> </textbox> </g> <textbox grow-horizontally="true" size="246 60" transformation="1 0 0 1 123 2"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="LucidaGrande">∆</span>x = <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1">i</span>t + <span font-size="24" font-superscript="1" font-kerning="-7.40741">1</span> <span font-kerning="-7.40741">/</span> <span font-size="24" font-superscript="-1">2</span>a<span font-name="ComicSansMS">t</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span> </content> </textbox> <textbox grow-horizontally="true" size="186 66" transformation="1 0 0 1 490 164"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-size="24" font-name="ComicSansMS" font-superscript="-1" font-kerning="-19.2593">f</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span> <span font-size="24" font-name="ComicSansMS">–</span> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1" font-kerning="-14.8148">i</span> <span font-size="24" font-name="ComicSansMS" font-superscript="1">2</span>= 2a<span font-name="LucidaGrande">∆</span>x</content> </textbox> <textbox grow-horizontally="true" size="182 61" transformation="1 0 0 1 493 -9"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">f </span> <span font-name="ComicSansMS">=</span> <![CDATA[ ]]> <span font-name="ComicSansMS">v</span> <span font-name="ComicSansMS" font-superscript="-1">i </span> <span font-name="ComicSansMS"> + at</span> </content> </textbox> <title visibility="hidden" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:bounce" duration="1"/> <thumbnails> <thumbnail byte-size="8344" size="60 45" file="thumbs/st10.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard"/> </bullet> <bullet level="1" marker-type="inherited"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="24" font-name="Chalkboard">This is your arsenal of weapons for kinematics problems</content> </bullet> <bullet level="1" marker-type="inherited"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="24" font-name="Chalkboard">They work for constant acceleration <span font-name="ComicSansMS-Bold">only</span>.</content> </bullet> <bullet level="1" marker-type="inherited"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="24" font-name="Chalkboard"> <![CDATA[You only need to remember the basic definitions — use algebra to go from one to another.]]> </content> </bullet> </bullets> <events> <build type="apple:wipe" duration="1" delivery="1" target-id="body-1"> <property name="direction" value="19"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-11"> <drawables> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" location="55 123" size="689 353" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8356" size="60 45" file="thumbs/st11.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="56" font-name="Chalkboard">and <span font-color="1 0.245289 0.0594918">ALWAYS</span> </content> </bullet> <bullet level="1" marker-type="none"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="36" font-name="Chalkboard">draw a graphical representation of the motion before using the equations.</content> </bullet> </bullets> </slide> </slide-list> <ui-state> <number key="BGShowUIStateNotesVisible">0</number> <reference key="BGShowUIStateActiveSlide" id-ref="slide-1"/> <array key="BGShowUIStateSelectedSlides"> <reference id-ref="slide-1"/> </array> <number key="BGShowUIStateRulersVisible">0</number> <array key="BGShowUIStateSelectedBulletPoints"/> <array key="BGShowUIStateSelectedDrawables"/> <string key="BGShowUIStateCanvasOrigin">{0, 0}</string> <string key="BGShowUIStateWindowSize">21 109 960 637 0 0 1024 746 </string> </ui-state> </presentation>