Power supplied to a particle of mass 2 kg varies with time as P ⁡ = 3 t 2 2 W , where t is in seconds. If the velocity of the particle at t = 0 is v = 0 , then what is the velocity (in m s - 1 ) of the particle at t = 2 s ?

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Correct answer: 2

K f &#8722; K i = &#8747; P &#8901; d t 1 2 m v 2 &#8722; 0 = &#8747; 0 2 ( 3 2 t 2 ) d t 1 2 ( 2 ) v 2 = 3 2 [ t 3 3 ] 0 2 = 4 v = 2 &#160; m s &#8722; 1

Power supplied to a particle of mass 2 kg varies with time as P ⁡ = 3 t 2 2 W , where t is in seconds. If the velocity of the particle at t = 0 is v = 0 , then what is the velocity (in m s - 1 ) of the particle at t = 2 s ?

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