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 find the velocity with which the midpoint of the train passes the pole, we can follow these steps:

### Step 1: Understand the Problem
We have a train moving past a pole. The front of the train (engine) passes the pole with velocity \( u \), and the last compartment of the train crosses the same pole with velocity \( v \). We need to find the velocity of the midpoint of the train as it passes the pole.

### Step 2: Identify the Length of the Train
Let the length of the train be \( l \). The midpoint of the train will be at a distance of \( \frac{l}{2} \) from both the front and the back of the train.

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