A car is accelerated on a levelled road and attains a velocity 4 times

A car is accelerated on a levelled road and attains a velocity 4 times of its initial velocity. In this process the potential energy of the car

  1. does not change
  2. becomes twice to that of initial
  3. becomes 4 times that of initial
  4. becomes 16 times that of initial

Answer

Potential energy of the car don’t change and kinetic energy changes.

Initial velocity = u

Kinetic Energy, K = ½mu2

Final velocity, v = 4u

New Kinetic Energy, K' = ½m(4u)2

K' = 16K

So in this process, the kinetic energy of car becomes 16 times that of initial energy.

The correct option is A.