You are driving down a straight highway at 20 m/s (72 km/h) on a foggy night. Suddenly you see a truck stopped directly in front of you a distance d down the roadway.

Here are my axes:


How to choose a scale

Choose the x axis scale.

In order to show the 1 s reaction time, choose 2 or 5 divisions for one second. Since you may not know how long the graph should extend in time, it might be wiser to choose 2 division/second because this leaves more room. Choosing 3 or 4 division per second would be ok, but creates subdivisions at more inconvenient numbers (for example, 0.3333 s or 0.25 s).

Choose the y axis scale.

The maximum velocity is 20 m/s. If you choose each division to represent 2 m/s then the graph's height will be 20 divisons which is 2.5 inches or 100 mm. That's convenient. Choosing each division = 5 m/s would be ok too, but gives a height of only 1 inch or 20 mm which is a little short.

What to do

Draw the graph.
After you have drawn your graph compare it to our graph and continue.
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