The coefficient of restitution between a snooker ball and the side cushion is `1/3`. If the ball hits the cushion and then rebounds at right angles to its original direction, show that the angles made with the side cushion by the direction of motion before and after impact are `60^@` and `30^@` respectively.

Explanation

To solve the problem, we need to analyze the collision of the snooker ball with the side cushion using the concept of the coefficient of restitution. The coefficient of restitution (e) is defined as the ratio of the relative velocity of separation to the relative velocity of approach along the line of impact.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- A snooker ball strikes the cushion and rebounds at right angles to its original direction.
- The coefficient of restitution (e) between the ball and the cushion is given as \( \frac{1}{3} \).

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