Considering equal mases, get the expressions for the velocities of bodies after the collision.

Explanation

To derive the expressions for the velocities of two bodies after a collision, we will consider two bodies with equal masses undergoing a perfectly elastic collision. Let's denote the masses as \( m_1 \) and \( m_2 \), and their initial velocities as \( u_1 \) and \( u_2 \). After the collision, we denote their final velocities as \( V_1 \) and \( V_2 \).

### Step-by-Step Solution:

1. **Define the Initial Conditions**:
- Let \( m_1 = m \) and \( m_2 = m \) (since the masses are equal).
- Initial velocities are \( u_1 \) for mass \( m_1 \) and \( u_2 \) for mass \( m_2 \).

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