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JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

Power supplied to a particle of mass 2 kg varies with time as P = (3/2)t² watt, where t is in second. If the velocity of the particle at t = 0 is v = 0, the velocity of the particle at t = 2 s will be

Answer: (C)

Solution

By the work-energy theorem, ½mv² = ∫₀² P dt = ∫₀² (3/2)t² dt = (1/2)(t³)|₀² = (1/2)(8) = 4. So ½(2)v² = 4 ⟹ v² = 4 ⟹ v = 2 ms⁻¹.

Question ID VK-153784