A ball is dropped from the roof of a building. After every bounce, it's speed reduces to ( $\frac{1}{3}$ ) times its speed before hitting the ground. Out of the following graphs, which one shows the variation of velocity with time for first three bounces?

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Solution

The correct option is B

Velocity will vary linearly with time because the ball is under constant acceleration g m/ $s^{2}$ . Initially, ball will have zero velocity and the velocity will increase in negative direction because the ball is falling. After hitting the ground, ball will start moving upwards with ( $\frac{1}{3}$ ) times the speed with which it will hit the ground and the speed will decrease linearly. Again after reaching maximum height same will happen.

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A ball is dropped from the roof of a building. After every bounce, it's speed reduces to ( 13) times its speed before hitting the ground. Out of the following graphs, which one shows the variation of velocity with time for first three bounces?

A ball is dropped from the roof of a building. After every bounce, it's speed reduces to ( $\frac{1}{3}$ ) times its speed before hitting the ground. Out of the following graphs, which one shows the variation of velocity with time for first three bounces?