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

Question: Power supplied to a particle of mass 2 kg varies with time as 𝑃 = 𝑡 2/2 watt, where 𝑡 is in second. If velocity of particle at 𝑡 = 0 is 𝑣 = 0, the velocity of particle at 𝑡 = 2s will be

(A) 1ms^{-1}

(B) 4ms^{-1}

(C) 2ms^{-1}

(D) 2\sqrt{2}ms^{-1}

Answer: Option (C)

Solution:

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