A car of mass `m` starta from rest and accelerates so that the instyantaneous power delivered to the car has a constant magnitude `P_(0)`. The instaneous velocity of this car is proportional to

Options

A. `t^(2)P_(@)`
B. `t^(1/2)`
C. `t^(-1/2)`
D. `t/sqrtm`

Answer

`(2)`

Explanation

`P_(@) = Fv = (m (dv)/(dt))v = mv (dv)/(dt)`
`int P_(@) dt = int mvdv`
`P_(@)t = (mv^(2))/2`
`therefore v infty t^(1/2)`