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EXAMPLE 1.1 Headfirst into the snow Alice is sliding along a smooth, icy road on her sled when she suddenly runs headfirst into a large, very soft snowbank that gradually brings her to a halt. Draw a motion dia- gram for Alice. Show and label all displacement vectors. MODEL Use the particle model to represent Alice as a dot. VISUALIZE FIGURE 1.11 shows Alices motion diagram. The problem statement suggests that Alices speed is very nearly constant until she hits the snowbank. Thus her displace- ment vectors are of equal length as she slides along the icy road. She begins slowing when she hits the snowbank, so the displacement vectors then get shorter until she stops. Were told that her stop is gradual, so we want the vector lengths to get shorter gradually rather than suddenly. FIGURE 1.11 Alices motion diagram Hits snowbank Stop This is motion at constant speed because the displacement vectors are a constant length The displacement vectors are getting shorter, so shes slowing down.
1. (5 pts) Consider the motion diagram shown for Example 1.1. You know that there is the same time interval between each pair of successive dots in the motion diagram. Give an appropriate numerical value (with unit) for this time interval. You need to consider the motion being visualized in the motion diagram; write a few sentences explaining why your time interval choice is reasonable for the described motion
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