Power supplied to a particle varies with time as P(t)=(5t²−3t+1) W. Find change in kinetic energy from t=1 s to t=3 s (J).
Physics · Mixed Chapter
JEE Main Practice

Question

Power supplied to a particle varies with time as P(t)=(5t²−3t+1) W. Find change in kinetic energy from t=1 s to t=3 s (J).

G1 Physics · Accepted Answer

Step 1: The work–energy theorem gives ΔK=∫₁³P(t)dt. Step 2: Integrate: ΔK=[(5t³/3)−(3t²/2)+t]₁³. Step 3: ΔK=(5/3)(27−1)−(3/2)(9−1)+(3−1) =130/3−12+2. Step 4: ΔK=100/3≈33.3 J.