A car moving in an unusual way: In making graphs for location and velocity, the authors of this text have tried to avoid sharp corners. This problem is designed to show you why. Suppose a car’s...

A car moving in an unusual way: In making graphs for location and velocity, the authors of this text have tried to avoid sharp corners. This problem is designed to show you why. Suppose a car’s distance west of home is given by the graph in Figure 6.26.

a. Make a graph of velocity versus time. In making your graph, take extra care near the peak shown in Figure 6.26.

b. Carefully describe the motion of the car near the peak in Figure 6.26. Do you think it is possible to drive in a way that matches the graph in Figure 6.26?