A body starts from rest and acquires a velocity V in time T. The work done on the body in time t will be proportional to:

Work done on the body is equal to gain in the kinetic energy.Acceleration of the body; a = VTVelocity acquired in time t: v = at = v = at = VTtNow KE acquired directly proportional to v2So work done directly proportional to V2t2T2