Power applied to a particle varies with time as P = ( 3 t 2 – 2 t + 1 ) watts, where t is time in seconds. Then the change in kinetic energy between time t = 2 s to t = 4 s is

Question

Power applied to a particle varies with time as P = ( 3 t 2 – 2 t + 1 ) watts, where t is time in seconds. Then the change in kinetic energy between time t = 2 s to t = 4 s is, 46 J, 52 J, 92 J, 104 J

MARKS App · Accepted Answer

P = 3 t 2 – 2 t + 1 d K d t = P ⇒ Δ K = ∫ 2 4 P d t = t 3 - t 2 + t 2 4 = 46 J

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