## Problem Statement

**A car starts from rest and accelerates uniformly over a time of 7 seconds for a distance of 98 m. Determine the acceleration of the car.**

## Solution

**Distance travelled: S = ut + ½ a t ^{2}**

As u = 0, the equation becomes S = ½ at^{2}

so, a = 2S/t^{2} …..(1)

t = 7 seconds

S=98 m

**from eqn 1 we get acceleration a = 2S/t ^{2}= (2 * 98)/7^{2} =4 m/s^{2} **

Solution to problems – class 9 – Set 1 Q 18