A force given by the relation `F=8t`, acts on a body of mass `2 kg`, initialiy at rest. Find the work done by this force on the body during first `2` seconds of its motion.

Options

A. `64J`
B. zero
C. `-64J`
D. none of these

Explanation

To solve the problem of finding the work done by the force \( F = 8t \) on a body of mass \( 2 \, \text{kg} \) during the first \( 2 \) seconds of its motion, we can follow these steps:

### Step 1: Determine the acceleration of the body
The force acting on the body is given by:
\[ F = 8t \]
Using Newton's second law, the acceleration \( a \) can be calculated as:
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