A body of mass 'm' falls from height 'h' on the ground. If 'e' be the coefficient of restitution between the body and the ground, find (i) the velocity with which it rises after the `n^("th")` collision with the ground (ii) The height upto which it rises after the `n^("th")` collision.

Explanation

To solve the problem step by step, we will break it down into two parts:

1. Finding the velocity with which the body rises after the nth collision with the ground.
2. Finding the height up to which the body rises after the nth collision.

### Step 1: Finding the velocity after the nth collision

**Given:**
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