Question

A body of mass `m` is acceleratad uniformaly from rest to a speed `v` in a time `T` . The instanseous power delivered to the body as a function of time is given by
A. `(1)/(2) m (v)/(t_(1)) t^(2)`
B. `m (v)/(t_(1)) t^(2)`
C. `(1)/(2) ((mv)/(t_(1)))^(2) t^(2)`
D. `(1)/(2) m (v^(2))/(t_(1)^(2)) t^(2)`

Answer 1

Work done `= F xx s`
`= ma xx (1)/(2) at^(2) [From x = ut + (1)/(2) at^(2)]`
`:. W = (1)/(2) ma^(2) t^(2) = (1)/(2) m ((v)/(t_(1)))^(2) t^(2) [As a = (v)/(t_(1))]`