Answer to Question #212535 in Physics for Mel

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

Given:

$v_i=0\:\rm m/s$

$t=5.21\:\rm s$

$d=110\:\rm m$

The distance

$$d=v_it+\frac{at^2}{2}$$

Hence,

$$a=\frac{2d}{t^2}=\frac{2*110\:\rm m}{(5.21\;\rm s)^2}=8.10\:\rm m/s^2$$