A body falls freely under gravity from rest and reaches the ground in time t. Write an expression for the height fallen by the body.

Explanation

To find the expression for the height fallen by a body that falls freely under gravity from rest, we can use the equations of motion. Here’s a step-by-step solution:

### Step 1: Identify the known quantities
- The body falls from rest, which means the initial velocity \( u = 0 \).
- The acceleration \( a \) is due to gravity, so \( a = g \) (where \( g \) is approximately \( 9.81 \, \text{m/s}^2 \)).
- The time taken to fall is \( t \).

### Step 2: Use the kinematic equation
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