Question

A car starts from rest and accelerates uniformly over a time of 18 seconds for a distance of 390 m. Determine the acceleration of the car.

Answer 1

`a=2.4\ m/s^2`

Step-by-step explanation:

Given that,

The initial speed of a car, u = 0

Time, t = 18 s

Distance, d = 390 m

We need to find the acceleration of the car. Let it is a. Using the second equation of motion to find it.

`d=ut+(1)/(2)at^2`

or

`d=(1)/(2)at^2\\\\a=(2d)/(t^2)\\\\a=(2* 390)/((18)^2)\\\\a=2.4\ m/s^2`

So, the acceleration of the car is
`2.4\ m/s^2`.