JEE Main Physics question
A body of mass m accelerates uniformly from rest to v₁ in time t₁. The instantaneous power delivered to the body as a function of time t is
Answer: (B)
Solution
a = v₁/t₁, so v(t) = at = v₁t/t₁. Instantaneous power P = Fv = ma·v = m(v₁/t₁)(v₁t/t₁) = mv₁²t/t₁².