For example 32 consider target body B initially at rest, get the expressin for velocities of bodies after the collision `(a)m_(1)=m_(2)(b)m_(2)gt gtm_(1)(c)m_(2)ltltm_(1)`

Explanation

To solve the problem of finding the velocities of two bodies after a collision under different mass conditions, we will follow these steps:

### Step 1: Understand the Conservation of Momentum
In a collision, the total momentum before the collision is equal to the total momentum after the collision. This can be expressed mathematically as:
\[ m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2 \]
where:
- \( m_1 \) and \( m_2 \) are the masses of the two bodies,
- \( u_1 \) and \( u_2 \) are the initial velocities of the bodies,
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