Question

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

Answer 1

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.