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A ball is dropped from a height \( h \) onto the ground where the coefficient of restitution is \( e \). After one bounce, what is the maximum height reached by the ball?

Answer :

After a ball is dropped from height h with a coefficient of restitution of e, the maximum height after one bounce can be calculated using the formula e² * h. This accounts for the energy lost during the collision.

When a ball is dropped from a height h and hits the ground with a coefficient of restitution of e, the height to which it bounces back can be calculated using the formula:

Maximum height after one bounce = e² * h

This formula accounts for the energy lost during the inelastic collision with the ground, characterized by the coefficient of restitution e.

The key takeaway is that the maximum height after one bounce decreases proportionally to the square of the coefficient of restitution.

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Rewritten by : Barada