# A car starts from rest and accelerates uniformly over a time of 10 seconds for a distance of 215 m. What is the acceleration of the car?

Jan 19, 2018

${\text{4.3 m/s}}^{2}$

#### Explanation:

Since it is given that car starts from rest so initial velocity $u = \text{0 m/s}$. The position of car is given, so $S = \text{215 m}$.

$S = u t + \frac{1}{2} a {t}^{2}$

So

$S = 0 \cdot 10 + \frac{1}{2} a {\left(10\right)}^{2}$

$215 = \frac{1}{2} a \cdot 100$

$215 \cdot 2 = 100 a$

$430 = 100 a$

Thus,

$a = {\text{4.3 m/s}}^{2}$