Question

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

Answer 1

Given:

$v_0=0$

$t=5.21\:\rm s$

$d=110\:\rm m$

The distance traveled by a car

$$d=v_0t+at^2/2=at^2/2$$

The acceleration

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