A body of mass m accelerates uniformly from rest to v, in time t, . As a function of t, the instantaneous power delivered to the body is
mv1tt1
mv12tt1
mv1t2t1
mv12tt12
We know that, v =u + at
∴ v1=0+at1 or a=v1/t1 ustantaneous velocity, v = o t : ∴ P=Fv=ma×at =ma2t =mv12t12⋅t