A tennis player moves back and forth along the baseline while waiting for her op

Question

A tennis player moves back and forth along the baseline while waiting for her opponent to serve, producing the position-versus-time graph shown in the figure. (The vertical axis is marked in increments of 2 m and the horizontal axis is marked in increments of 3 s.) (a) Without performing a calculation, indicate on which of the segments of graph, A, B, or C, the player has the greatest speed. (b) Calculate the average speed for segment A. m/s (c) Calculate the average speed for segment B. m/s (d) Calculate the average speed for segment C. m/s

Explanation / Answer

a) wherever the slope of the graph is the steepest (greatest), this will determine the greatest speed.
as the slope of a position graph is velocity.

So, Segment B has greatest speed.

b) Average speed of segment A = 4/6 = 0.67 m/s

c) Average speed of segment B = 4/3 = 1.33 m/s

d) Average speed of segment C = 2/6 = 0.33 m/s

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