Power delivered to a particle varies as P(t)=3t²-2t+1 W. Find the change in kinetic energy between t=2 s and t=4 s.
Physics · Work , Power and Energy · Power
JEE Advanced

Question

Power delivered to a particle varies as P(t)=3t²-2t+1 W. Find the change in kinetic energy between t=2 s and t=4 s.

G1 Physics · Accepted Answer

Change in kinetic energy equals work by the applied power: ΔK=∫₂⁴P dt=∫₂⁴(3t²-2t+1)dt=[t³-t²+t]₂⁴=52-6=46 J.