Problem

Figure 2—50 shows the position vs. time graph for two bicycles, A and 8.(3) Identify any instant at which the two bicycles have the same velocity. (6) Which bicycle has the larger acceleration? (c) At which instant(s) are the bicycles passing each other? Which bicycle is passing the other? (d) Which bicycle has the larger instantaneous velocity? (e) Which bicycle has the larger average velocity?

Solution 85GP

a)

The bicycle A is making accelerated motion. The slope of the secant line as in the figure gives the average velocity of the bicycle between points K and L.

The slope of the graph of bicycle B is constant. Its velocity is constant.

The graph of bicycle A is the same line as the secant of the B so slopes are the same.

The slope of the tangent line to graph at point P in the middle of the time from tk to tL give the average speed of the bicycle A.