Question

Sketch a velocity against time graph for three bounces of a ball dropped from a height of 2m, given that it bounces to half the height of the previous bounce each time. You may assume the velocity reverses direction instantly when it hits the ground

Answer 1

When a ball is released from a height, it will accelerate on the way down due to the resultant force (weight) acting downwards. Just before the ball touches the ground, the velocity of the ball is the maximum. When it hits the ground, the speed decreases to 0 m/s instantly. When it rebounces back in the opposite direction, the initial velocity is the maximum. Assume ideal situation (no air resistance, no energy lost to sound or heat). The ball will rebounce back to its original height.

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