Given:
The acceleration of the car is,
[tex]a=4\text{ m/s}^2[/tex]The distance is,
[tex]s=500\text{ m}[/tex]To find:
The time to cover the distance
Explanation:
When an object starts from rest with acceleration, the distance is,
[tex]\begin{gathered} s=\frac{1}{2}at^2 \\ t=\sqrt{\frac{2s}{a}} \end{gathered}[/tex]Substituting the values we get,
[tex]\begin{gathered} t=\sqrt{\frac{2\times500}{4}} \\ t=\sqrt{250} \\ t=15.8\text{ s} \end{gathered}[/tex]Hence, the required time is 15.8 s.
