A body of mass `m` , accelerates uniform from rest to `v_(1)` in time `t_(1) ` . The instanencoes power delivered to the body as a finction of `t` is

Options

A. ` (mv_(1)t^(2))/(t_(1))`
B. ` (mv_(1)^(2)t)/(t_(1)^(2))`
C. ` (mv_(1)t)/(t_(1))`
D. ` (mv_(1)^(2)t)/(t_(1))`

Answer

B

Explanation

(b) Let acceleration of body be a
`:. Nu_(1) = 0 + at_(1) rArr a = (nu_(1))/(t_(1))`
`:. Nu = at rArr nu (nu_(1) t )/(t_(1)) `
`P_(inst) = underset F underset (rarr) , underset nu underset (rarr) = (m bara ) underset nu underset (rarr)`
` = ((m nu_(1))/(t_(1)) ((nu_(1)t)/(t_(1)) = m ((nu_(1))/(t_(1)) ^(2) t `