Without performing a calculation, indicate on which of the segments of the graph

Question

Without performing a calculation, indicate on which of the segments of the graph, A, B, or C, the player has the greatest speed, calculate the player's speed for segment A, and calculate the player's speed for segment B. (express answers using two significant figures)

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 . Without performing a calculation, indicate on which of the segments of the graph, A, B, or C, the player has the greatest speed, calculate the player's speed for segment A, and calculate the player's speed for segment B. (express answers using two significant figures)

Explanation / Answer

to calculate speed , we should find the slope of the segments

the slope of segment B is more ie it is more steeper , so the speed of player on segment B is greatest (without calculating)

slope of segment A = [ 3-1 / 0-2 ] = -1 m/ses = 1m/sec (decreasing)

slope of segment B= [ 1-3 / 2-3 ] = 2 m/ses = 2 m/sec (increasing)

slope of segment C = [ 3-2 / 3-5 ] = -0.5m/ses = 0.5m/sec (decreasing)

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