Power supplied to a particle of mass 5kg varies with time as P=4t35W, 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 5seconds?
A
5√2m/s
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B
√2m/s
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C
5m/s
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D
2m/s
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Solution
The correct option is A5√2m/s From Work energy theorem, we have ΔKE=Wnet ⟹Kf−Ki=∫P.dt ⟹12mv2−12m×(0)2=∫504t35dt ⟹12mv2=4t44×5∣∣∣50 ⟹12×5×v2=6255 ⟹v2=25×2 ⟹v=5√2m/s