Question

A race car starts at rest and speeds up to 40 m/s in a distance of 100 m. Determine the acceleration of the car.

Answer 1

Acceleration of the car,
`a=8\ m/s^2`

Step-by-step explanation:

Given that,

Initial speed of the car, u = 0 (at rest)

Final speed of the car, v = 40 m/s

Distance covered, s = 100 m

We need to find the acceleration of the car. It can be calculated using third equation of motion as :

`v^2-u^2=2as`

a is the acceleration of the car

`a=(v^2)/(2s)`

`a=((40)^2)/(2* 100)`

`a=8\ m/s^2`

So, the acceleration of the car is
`8\ m/s^2`. Hence, this is the required solution