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A car of mass m starta from rest and acc...

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

A

`t^(1//2)`

B

`t^(-1//2)`

C

`t//sqrtm`

D

`t^(2)P_(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
`P_(0)=F.v=mav`
`P_(0)=mv(dv)/(dt)`
`intmvdv=intP_(0)dt`
`m(v^(2))/(2)=P_(0)t`
`v prop sqrtt`
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