Question

A car starts from rest and has an acceleration a=t. A truck is moving with a uniform velocity of 6m/s. At what distance will the car overtake the truck?(at t=0 both start their motion in the same direction from the same position) (1)36m. (2)8m. (3)32m. (4)4m.

Answer 1

Explanation:

At the moment when the car will be overtaking the truck their velocitis will be same.

so suppose after t second from the start of the motion the car overtake the truck then the velocity of the car at that moment will be v=0+at=t×1m/s

2

=t m/s

and the velocity of the truck at that moment will be u=6m/s(constant)

both should be same i.e u=v or 6=t or t=6 second

so the distance covered by truck oe car because both will be at same place ast that point of time in this time

will be s=vt=6×6=36meter