A body accelerates uniformly from rest at the rate of 3 ms^{-1} for 8 seconds. Calculate the distance covered by the body during the acceleration.

Answer Details

We can use the formula:
distance = (initial velocity × time) + (1/2 × acceleration × time²)
In this case, the body starts from rest, so the initial velocity is 0. The acceleration is given as 3 ms⁻¹ and the time is 8 seconds.
Therefore, distance = (0 × 8) + (1/2 × 3 × 8²) = 0 + (1/2 × 3 × 64) = 96m
Therefore, the distance covered by the body during the acceleration is 96m.
So the correct option is (E) 96m.