IN a typical Indian Bugghi(a luxury cart drawn by horses), a wooden plate is fixed on the rear on which one person can sit. A bugghi of mass 200 kg is moving at a speed of 10 km/h. As it overtakes a school boy walking at a speed of 4 km/h,. the boy sits on the wooden plate. If the mass of the boy is 25 kg, what will be the new velocity of the bugghi?

Explanation

To solve the problem, we will apply the principle of conservation of momentum. The total momentum of the system before the boy sits on the buggy must equal the total momentum of the system after he sits down.

### Step-by-Step Solution:

1. **Identify the masses and velocities:**
- Mass of the buggy (m_b) = 200 kg
- Mass of the boy (m_g) = 25 kg
- Initial velocity of the buggy (v_b_initial) = 10 km/h
...