Work done in time t on a body of mass m which is accelerated from rest to a speed v in time t1 as a function of time t is given by
12mvt1t2
mvt1t2
12m vt12t2
12mv2t12t2
Work done = F×s=ma×12at2 from s=ut+12at2∴W = 12ma2t2=12mvt12t2 As a=vt1