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Speed of Bouncing Ball: Ranking Values

APPH12-GVR0YY

A ball is dropped from a height, $h_1$, at Position A and rebounds to a lower height, $h_2$, at Position D as shown in the diagram below. Position B represents the location of the ball just before it lands and Position C is the location of the ball just after it leaves the ground. Assume the effect of air resistance on the ball and the time the ball is in contact with the floor are both negligible.

Which of the following choices indicates the correct ranking (greatest to least) of the values for the magnitude of velocity, $v$, or speed of the ball at each of the positions on the diagram?

A

$v_A>v_D>v_B=v_C$

B

$v_C>v_B>v_A=v_D$

C

$v_B>v_C>v_A=v_D$

D

$v_C>v_A=v_D>v_B$