Answer to Question #152519 in Mechanics | Relativity for Sara H

Question

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

Answer 1

The distance traveled by the car with uniformly accelerated movement is equal to

$s=v_0t+at^2/2$ ,

where $v_0$ - initial speed,

a - acceleration.

t - time.

Since initial speed is zero, the acceleration of the car is

$a=2s/t^2=2\cdot110/5.21^2=8.1\space{m/s^2}$

Answer: $8.1\space{m/s^2}$