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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^(2)`

B

`t^(1//2)`

C

`t^(-1//2)`

D

`(t)/(sqrt(m))`

Text Solution

Verified by Experts

The correct Answer is:
B
Constant power of car `P_(0)`=F.V=ma.v
`P_(0)m(dv)/(dt).v`
`P_(0)`dt=mvdc Integrating
`P_(0)t=(mv^(2))/(2) v=sqrt((2P_(0)t)/(m))`
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Knowledge Check

  • A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P_0 . The instantaneous velocity of this car is proportional to

    A
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    B
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    D
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