When a ball is dropped from a certain height h , it robounds from the ground , strikes again and rebounds again , a number of times before finally coming to rest . If the coefficient of restitution is e , find the height to which it robunds after `p^(th)` collision ..

Explanation

To solve the problem of finding the height to which a ball rebounds after the \( p^{th} \) collision when dropped from a height \( h \) with a coefficient of restitution \( e \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Coefficient of Restitution**:
The coefficient of restitution \( e \) is defined as the ratio of the velocity of separation to the velocity of approach. When the ball hits the ground, it loses some energy and rebounds to a height that is a fraction of the original height.

2. **Initial Drop**:
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