A body of mass `m` is acceleratad uniformly from rest to a speed `v` in a time `T` . The instantaneous power delivered to the body as a function of time is given by

Options

A. `(1)/(2)(m upsilon^(2)t)/(T^(2))`
B. `(1)/(2)(m upsilon^(2)t)/(T^(2))`
C. `(m upsilon^(2)t)/T^2`
D. `(m upsilon^(2)t^(2))/(T^(2))`

Answer

C

Explanation

Here, `u=0,a=(upsilon-u)/(T)=(upsilon)/(T), F=ma=(m upsilon)/(T)`
Instataneous velocity, `Deltaupsilon=a DeltaT=at=(upsilont)/(T)`
Instataneous power,
`P=F Deltaupsilon=(m upsilon)/(T)xx( upsilont)/(T)=(m upsilon^(2)t)/(T^(2))`