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Question

Power supplied to a particle of mass 5 kg varies with time as P=4t35 W, where t is in seconds. If the velocity of the particle at t=0 is zero, then what will be the velocity of the particle at 5 seconds?

A
52 m/s
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B
2 m/s
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C
5 m/s
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D
2 m/s
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Solution

The correct option is A 52 m/s
From Work energy theorem, we have
ΔKE=Wnet
KfKi=P.dt
12mv212m×(0)2=504t35dt
12mv2=4t44×550
​​​​​​​12×5×v2=6255
​​​​​​​v2=25×2
​​​​​​​v=52 m/s

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