A car starts from rest and moves along the x-axis with constant acceleration of 5 m/s
2 for 8
seconds. If it then continues with constant velocity, what distance will the car cover in 12
seconds since it started from the rest?

D = 320 m

Explanation:

Initial speed of the car is 0 as it was at rest.

Acceleration of the car along x axis is 5 m/s² for 8 seconds

Let d is the distance covered by the car in first 8 seconds. So,

The velocity attained in 8 seconds is given by :

Let d' is the distance covered by the car in next 4 seconds. So,

Total distance covered by the car is :

D = d +d'

D= 160 m + 160 m

D = 320 m

So, the car will cover a distance of 320 m since it started from the rest.