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As we know power P = dw/dt, w = Pt = 1/2 mv². So, v = √(2Pt/m).

1. Power = dw/dt
2. w = Pt = 1/2 mv²
3. v = √(2Pt/m)
4. Hence, acceleration a = dV/dt = √(2P/m) × 1/(2√t)

Correct answer: Hence, acceleration a = dV/dt = √(2P/m) × 1/(2√t)

Solution

The acceleration expression in option D is derived correctly from the given equations. It uses the chain rule to differentiate velocity with respect to time.

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