A ball moving with a speed of `9m//s` strikes an identical ball at rest, such that after the collision, the direction of each ball makes an angle of `30^(@)` with the original line of motion. Find the speeds of the two balls after collision.

Explanation

To solve the problem, we will use the principles of conservation of momentum in both the x and y directions. Here are the steps to find the speeds of the two balls after the collision:

### Step 1: Understand the Initial Conditions
- We have two identical balls, each with mass \( m \).
- One ball is moving with a speed of \( 9 \, \text{m/s} \) along the x-axis, and the other ball is at rest.
- After the collision, both balls move at angles of \( 30^\circ \) with respect to the original line of motion (the x-axis).

### Step 2: Set Up the Momentum Conservation Equations
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