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size="644 125" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:revolve" duration="1"> <property name="direction" value="10"/> </transition-style> <thumbnails> <thumbnail byte-size="8370" 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">Ch. 2: <span font-name="ComicSansMS-Bold">Kinematics</span> <![CDATA[ The Mathematics of Motion in a Straight Line]]> </content> </bullet> <bullet level="1" marker-type="inherited"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 75" font-size="28" font-name="ComicSansMS-Bold">Goal:</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">Learn how to solve problems about motion in a straight line.</content> </bullet> </bullets> 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paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="LucidaGrande">Δt = 9 s</content> </textbox> <line tail="229 174" head="267 174" opacity="0.481343"> <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> <line tail="402 175" head="554 175" opacity="0.481343"> <styles> <shadow-style offset="6" angle="45" opacity="0.75" radius="10"/> <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="false"/> </styles> </line> </g> <g id="g-5" transformation="1 0 0 1 490.5 191"> <textbox grow-horizontally="true" size="189 38" transformation="1 0 0 1 490.5 319"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="LucidaGrande">Δx = 6.3 m</content> </textbox> <line tail="572.2 306" head="572 191" opacity="0.518657"> <styles> <shadow-style offset="6" angle="45" opacity="0.75" radius="10"/> <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"/> </styles> </line> <line tail="572 463" head="572 363" opacity="0.518657"> <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> <textbox id="textbox-1" grow-horizontally="true" size="371 50" transformation="1 0 0 1 242.5 66"> <content font-color="1 0.993795 0.739568" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">v<span font-size="24" font-superscript="-1">avg</span> = 6.3m/9s = 0.7 m/s</content> </textbox> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="8370" 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" 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size="24 31" transformation="1 0 0 1 209 489"> <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 1 354.5 514"> <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> </g> <g transformation="1 0 0 1 124.5 138"> <line tail="222 138" head="222 480.813"/> <textbox grow-horizontally="true" size="19 31" transformation="1 0 0 1 186.5 421"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">1</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 184 365"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">2</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 184 317"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">3</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 184 269"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">4</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 184 221"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">5</content> </textbox> <textbox grow-horizontally="true" size="24 31" transformation="1 0 0 1 184 173"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">6</content> </textbox> <textbox grow-horizontally="true" size="67 33" transformation="1 0 0 1 124.5 241"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard"> <span font-name="ComicSansMS">x</span> (m)</content> </textbox> </g> <line tail="199 497" head="580 170" opacity="0.25"/> <line tail="274 465" id="line-1" head="474 249"/> <line tail="277 498" id="line-2" head="469 263"/> <line tail="270 511" id="line-3" head="469 280"/> <line tail="270 511" id="line-4" head="612 114"/> <textbox id="textbox-2" size="354 120" transformation="1 0 0 1 408 320"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard"> <![CDATA[slope of tangent = 7 m/7.3 s = 0.96 m/s ]]> </content> </textbox> <textbox id="textbox-3" grow-horizontally="true" size="521 40" transformation="1 0 0 1 155.5 81"> <content font-color="1 0.993795 0.739568" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">dx/dt at 3.5s = v(3.5 s) = 0.96 m/s</content> </textbox> <g id="g-7" transformation="1 0 0 1 329 400"> <shape path="M 85.3553 14.6447 C 104.882 34.1709 104.882 65.8291 85.3553 85.3553 C 65.8291 104.882 34.1709 104.882 14.6447 85.3553 C -4.88155 65.8291 -4.88155 34.1709 14.6447 14.6447 C 34.1709 -4.88155 65.8291 -4.88155 85.3553 14.6447 Z M 85.3553 14.6447" transformation="0.09 0 0 0.09 356 400" stroke-width="1"> <styles> <fill-style fill-type="color" fill-color="1 0.46844 0.45665"/> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="64 31" transformation="1 0 0 1 329 447"> <content font-color="1 0.46844 0.45665" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">3.5 s</content> </textbox> </g> <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="8370" size="60 45" file="thumbs/st3.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">Instantaneous Velocity</content> </bullet> </bullets> <events> <build type="apple:dropbuild" duration="1" target-id="g-7"> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="line-1"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="line-1"> <property name="direction" value="17"/> <property name="animationType" value="2"/> </build> <build type="apple:wipe" duration="1" target-id="line-2"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="line-2"> <property name="direction" value="17"/> <property name="animationType" value="2"/> </build> <build type="apple:wipe" duration="1" target-id="line-3"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" 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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> <image byte-size="1945" display-name="pasted.pdf" transformation="1 0 0 1 220 234.5" lock-aspect-ratio="true" image-data="pasted1.pdf" natural-size="510 245"/> <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> <textbox size="410.5 40" transformation="1 0 0 1 406.5 187"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Skytrain Velocity</content> </textbox> <textbox grow-horizontally="true" size="553 40" transformation="1 0 0 1 161.5 38"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">How far does it go between stations?</content> </textbox> <title visibility="hidden" location="95 2" size="644 95" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8342" 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">Instantaneous Velocity</content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-4"> <drawables> <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="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> <image byte-size="1945" display-name="pasted.pdf" transformation="1 0 0 1 220 234.5" lock-aspect-ratio="true" image-data="pasted1.pdf" opacity="0.175373" natural-size="510 245"/> <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> <textbox size="410.5 40" transformation="1 0 0 1 406.5 187"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">Skytrain Velocity</content> </textbox> <textbox grow-horizontally="true" size="553 40" transformation="1 0 0 1 161.5 38"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">How far does it go between stations?</content> </textbox> <line tail="224 348" id="line-5" head="735.98 349" stroke-color="1 0.966121 0.0237542"/> <shape id="shape-11" path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="5.11 0 0 1.29 223 351" opacity="0.36194"> <styles> <fill-style fill-type="gradient"> <gradient end-color="0.27451 0.27451 0.345098" start-color="g1" gradient-angle="190"/> </fill-style> <dash-style pattern="none"/> </styles> </shape> <textbox id="textbox-4" size="455.5 38" transformation="1 0 0 1 211.5 313"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">average velocity (guess) v<span font-size="18" font-superscript="-1">avg </span>= 13 m/s</content> </textbox> <textbox id="textbox-5" size="391.5 38" transformation="1 0 0 1 278.5 362"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">distance travelled = v<span font-size="18" font-superscript="-1">av</span> <span font-size="18" font-superscript="-1">g</span> x time </content> </textbox> <textbox id="textbox-6" size="391.5 38" transformation="1 0 0 1 274.5 417"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">= avea under v<span font-size="18" font-superscript="-1">avg</span> <![CDATA[ ]]> </content> </textbox> <textbox id="textbox-7" size="128 40" transformation="1 0 0 1 574 416"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">=1690 m</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8322" 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:appear" duration="1" target-id="textbox-4"> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="line-5"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-5"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-6"> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="shape-11"> <property name="direction" value="19"/> <property name="animationType" value="1"/> </build> <build type="apple:dropbuild" duration="1" target-id="textbox-7"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-4"> <drawables> <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="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> <textbox grow-horizontally="true" size="553 40" transformation="1 0 0 1 161.5 38"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">How far does it go between stations?</content> </textbox> <g id="g-8" transformation="1 0 0 1 220 439"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.13 221 464"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 220 439"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">20m</content> </textbox> </g> <g id="g-9" transformation="1 0 0 1 260 424"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.29 261 448"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 260 424"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">30m</content> </textbox> </g> <g id="g-10" transformation="1 0 0 1 298 402"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.53 299 424"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 298 402"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">50m</content> </textbox> </g> <g id="g-11" transformation="1 0 0 1 338 369"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.85 339 393"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 338 369"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">70m</content> </textbox> </g> <g id="g-12" transformation="1 0 0 1 374.5 298"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 1.47 379 331"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="51 23" transformation="1 0 0 1 374.5 298"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">150m</content> </textbox> </g> <g id="g-13" transformation="1 0 0 1 410.5 246"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 1.99 417 279"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="55 23" transformation="1 0 0 1 410.5 246"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">200m</content> </textbox> </g> <g id="g-14" transformation="1 0 0 1 447.5 221"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 2.3 458 248"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="55 23" transformation="1 0 0 1 447.5 221"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">230m</content> </textbox> </g> <g id="g-15" transformation="1 0 0 1 491 203"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 2.39 497 239"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="54 23" transformation="1 0 0 1 491 203"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">240m</content> </textbox> </g> <g id="g-16" transformation="1 0 0 1 530.5 234"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 2.2 537 258"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="55 23" transformation="1 0 0 1 530.5 234"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">225m</content> </textbox> </g> <g id="g-17" transformation="1 0 0 1 569.5 273"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 1.78 574 300"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="51 23" transformation="1 0 0 1 569.5 273"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">180m</content> </textbox> </g> <g id="g-18" transformation="1 0 0 1 606.5 326"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 1.28 611 350"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="51 23" transformation="1 0 0 1 606.5 326"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">130m</content> </textbox> </g> <g id="g-19" transformation="1 0 0 1 651 393"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.64 652 414"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 651 393"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">60m</content> </textbox> </g> <g id="g-20" transformation="1 0 0 1 692 434"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.21 692 457"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="31 23" transformation="1 0 0 1 697.5 434"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">25</content> </textbox> </g> <image byte-size="1945" display-name="pasted.pdf" transformation="1 0 0 1 220 234.5" lock-aspect-ratio="true" image-data="pasted1.pdf" natural-size="510 245"/> <textbox id="textbox-9" grow-horizontally="true" size="135 40" transformation="1 0 0 1 440.5 395"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">= 1610 m</content> </textbox> <textbox 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<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 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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> <image byte-size="1945" display-name="pasted.pdf" transformation="1 0 0 1 220 234.5" 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vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:revolve" duration="1"> <property name="direction" value="10"/> </transition-style> <thumbnails> <thumbnail byte-size="8342" 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:wipe" duration="1" target-id="g-21"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-10"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-3"> <drawables> <g transformation="1 0 0 1 220 439"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.13 221 464"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 220 439"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">20m</content> </textbox> </g> <g transformation="1 0 0 1 260 424"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.29 261 448"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 260 424"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" font-name="Chalkboard">30m</content> </textbox> </g> <g transformation="1 0 0 1 298 402"> <shape path="M 0 0 L 100 0 L 100 100 L 0 100 Z M 0 0" transformation="0.41 0 0 0.53 299 424"> <styles> <dash-style pattern="none"/> </styles> </shape> <textbox grow-horizontally="true" size="44 23" transformation="1 0 0 1 298 402"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="18" 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positions.]]> </content> </textbox> <textbox id="textbox-11" size="726 31" transformation="1 0 0 1 6 557"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="24" font-name="Chalkboard">Skytrain catches up at about 65 s and 650 m from station</content> </textbox> <g transformation="1 0 0 1 189 337"> <line tail="219 379" head="728.987 379"/> <textbox size="229 40" transformation="1 0 0 1 189 337"> <content font-color="g1" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="Chalkboard">car Velocity</content> </textbox> </g> <image byte-size="1945" display-name="pasted.pdf" transformation="1 0 0 1 220 234.5" lock-aspect-ratio="true" image-data="pasted1.pdf" natural-size="510 245"/> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="hidden" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8338" 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> </bullets> <events> <build type="apple:dissolve" duration="1" delivery="1" target-id="plugin-1"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="textbox-11"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-3"> <drawables> <body size="749 485" visibility="tracks-master" vertical-alignment="tracks-master" location="29 45" id="body-1"/> <title visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8358" 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"/> </bullet> <bullet level="1" marker-type="character"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" font-name="Chalkboard">Take thinner slices to get a more accurate answer.</content> <character-bullet-style size-technique="relative" size="1.25"> <bullet-characters font-color="g1" font-name="GillSans" font-size="24">•</bullet-characters> </character-bullet-style> </bullet> <bullet level="1" marker-type="character"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" font-name="Chalkboard">Print the graph on paper. </content> <character-bullet-style size-technique="relative" size="1.25"> <bullet-characters font-color="g1" font-name="GillSans" font-size="24">•</bullet-characters> </character-bullet-style> </bullet> <bullet level="2" marker-type="sequence"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" font-name="Chalkboard">Cut out the area under the curve and weight it. </content> <sequence-bullet-style sequence-type="arabic" size-technique="relative" size="1" format-string="%@."/> </bullet> <bullet level="2" marker-type="sequence"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" font-name="Chalkboard">Compare to weight of a 100-m square.</content> <sequence-bullet-style sequence-type="arabic" size-technique="relative" size="1" format-string="%@."/> </bullet> <bullet level="1" marker-type="character"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" font-name="Chalkboard">If you know the mathematical function of the v(t) curve, use integral calculus. </content> <character-bullet-style size-technique="relative" size="1.25"> <bullet-characters font-color="g1" font-name="GillSans" font-size="24">•</bullet-characters> </character-bullet-style> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" delivery="1" target-id="body-1"> <property name="animationType" value="1"/> </build> </events> </slide> <slide id="slide-1" master-slide-id="master-slide-3"> <drawables> <body size="790 535" visibility="tracks-master" vertical-alignment="middle" location="5 32" id="body-2"/> <title visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="8360" size="60 45" file="thumbs/st12.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="28" paragraph-line-spacing="-5" font-name="Chalkboard">These graphical methods are general and apply to all kinds of motion.</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="28" paragraph-line-spacing="-5" font-name="Chalkboard">If you know the mathematical functions you can use calculus: </content> </bullet> <bullet level="2" marker-type="inherited"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" paragraph-line-spacing="-5" font-name="Chalkboard">v(t) = dx/dt</content> </bullet> <bullet level="2" marker-type="inherited"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" paragraph-line-spacing="-5" font-name="Chalkboard">x(t) = x<span font-superscript="-1">0</span> + ∫v(t)dt </content> </bullet> <bullet level="1" marker-type="inherited" id="bullet-1"> <content font-color="g1" paragraph-head-indent="9" paragraph-first-line-indent="9" tab-stops="L 44" font-size="28" paragraph-line-spacing="-5" font-name="Chalkboard"> <![CDATA[If you only have a data record of x or a data record of v you can use approximate numerical techniques to find the velocities at specific times, or to find the distance travelled in a given time.]]> </content> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" delivery="1" target-id="body-2"> <property name="animationType" value="1"/> </build> </events> </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> <reference key="BGShowUIStateActiveBulletPoint" id-ref="bullet-1"/> <array key="BGShowUIStateSelectedDrawables"/> <string key="BGShowUIStateCanvasOrigin">{0, 0}</string> <string 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