JEE Main Physics question
Power supplied to a particle of mass 2 kg varies with time as P = 3t²/2 watt. Here t is in second. If the velocity of the particle at t = 0 is v = 0, the velocity of particle at time t = 2 s will be
Answer: (C)
Solution
∫₀² (3t²/2) dt = ½(t³)|₀² = 4 J = ½mv² = ½(2)v² ⟹ v² = 4 ⟹ v = 2 ms⁻¹.
## 6.0 Work, Energy and Power