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Power supplied to a particle of mass 4 k...

Power supplied to a particle of mass 4 kg varies with time as `P=(3t^(2))/(2)` watt. Here t in second. If velocity of particle at t = 0 is v = 0, the velocity of particle at time t = 2s will be

A

`1 m s^(-1)`

B

`4 m s^(-1)`

C

`2 m s^(-1)`

D

`2 sqrt2 m s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
From work-energy theorem,
`Delta K=W_("net")`
or `K_(f) - K_(i) = int P dt`
or ` (1)/(2) mv^(2) -0 = int_(0)^(2) ((3)/(2) t^(2) ) dt`
or `v^(2) = |(t^2)/(2)|_(0)^(2)` or `v=4 ms^(-1)`
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