How is the distance related with time for the motion under uniform acceleration such as the motion of a freely falling body?

Explanation

To find the relationship between distance and time for the motion of a freely falling body under uniform acceleration, we can use the equations of motion. Here's a step-by-step solution:

### Step 1: Understand the scenario
A freely falling body is subject to uniform acceleration due to gravity. The acceleration \( a \) is equal to \( g \), the acceleration due to gravity, which is approximately \( 9.81 \, \text{m/s}^2 \) (we will use \( g \) as a constant).

### Step 2: Identify initial conditions
For a freely falling body, we assume:
- Initial velocity \( u = 0 \) (the body starts from rest).
...