The engine of a train passes an electric pole with a velocity 'u' and the last compartment of the train crosses the same pole with a velocity v. Then find the velocity with which the mid-point of the train passes the pole. Assume acceleration to be uniform.

Explanation

To solve the problem, we need to find the velocity with which the midpoint of the train passes the electric pole, given that the engine passes the pole with velocity \( u \) and the last compartment passes with velocity \( v \). We will assume that the train is moving with uniform acceleration.

### Step-by-Step Solution:

1. **Understand the Setup**:
- Let the train have a length \( L \).
- The engine (front) of the train passes the pole with velocity \( u \).
- The last compartment (rear) of the train passes the pole with velocity \( v \).
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