Power applied to particle varies with time as 𝑝 = (3 𝑡 2 − 2𝑡 + 1)𝑊 ,where t is in second. Find the change in its kinetic energy between t=1s and t=4s

Question: Power applied to particle varies with time as 𝑝 = (3 𝑡 2 − 2𝑡 + 1)𝑊 ,where t is in second. Find the change in its kinetic energy between t=1s and t=4s

(A) 32 J

(B) 46 J

(C) 61 J

(D) 102 J

Answer: Option (B)

Solution:

Power applied to particle varies with time as 𝑝 = (3 𝑡 2 − 2𝑡 + 1)𝑊 ,where t is in second. Find the change in its kinetic energy between t=1s and t=4s
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