A train goes from rest to rest between two stations with uniform acceleration and retardation. Find the rato of maximum velocity of the average velocity.

Explanation

To solve the problem of finding the ratio of maximum velocity to average velocity for a train that goes from rest to rest with uniform acceleration and retardation, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Motion**:
- The train starts from rest, accelerates to a maximum velocity (v_max), and then decelerates back to rest.
- Therefore, the initial velocity (u) and final velocity (v) are both 0.

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