How long will it take for a car accelerating at 4 meters/sec/sec to cover a distance of 500 meters?

Question

asked Jan 13, 2023 182k views

1 Answer

Eric Krantz · Answer 1 · 2023-01-17T17:18:55+0000

Given:

The acceleration of the car is,

$a=4\text{ m/s}^2$

The distance is,

$s=500\text{ m}$

To find:

The time to cover the distance

Step-by-step explanation:

When an object starts from rest with acceleration, the distance is,

$\begin{gathered} s=(1)/(2)at^2 \\ t=\sqrt{(2s)/(a)} \end{gathered}$

Substituting the values we get,

$\begin{gathered} t=\sqrt{(2*500)/(4)} \\ t=√(250) \\ t=15.8\text{ s} \end{gathered}$

Hence, the required time is 15.8 s.