Question

Find the acceleration of a car that can go from rest to 50 km/h in 13 s

Answer 1

The acceleration of the car is 1.067 m/$s^{2}$.

Explanation:

Acceleration is the measure of change in velocity experienced by any object for a given time period. So it is determined as the ratio of difference in the velocity to the time period.

As here the initial velocity is stated as zero, so u = 0. And the final velocity is termed as 50 km/h. Then we have to determine the acceleration in 13 s. So here we have to convert the units as common units. Thus, 50 km/h should be converted to m/s as $\frac{50*1000}{3600}=13.88 m/s$

So now, the initial velocity u = 0 and final velocity v = 13.88 m/s and the time period is given as t = 13 s.

$Acceleration = \frac{v-u}{t}=\frac{13.88-0}{13}=1.067 m/s^{2}$

So the acceleration of the car is 1.067 m/$s^{2}$.