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MHT CET 2026 (19 May, Shift 2) · Power

Power question from MHT CET 2026 (19 May, Shift 2)

Q2MHT CET 2026 · 19 MAY · SHIFT 2Easy

Power

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time tt is proportional to

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Answer: (c)

  1. P=Fv=mvdvdtP = Fv = mv\dfrac{dv}{dt} = constant ⇒∫v dv=∫Pmdt\Rightarrow \int v\,dv = \int \dfrac{P}{m}dt.
  2. v22=Pmt⇒v∝t1/2\dfrac{v^2}{2} = \dfrac{P}{m}t \Rightarrow v \propto t^{1/2}
  3. s=∫v dt∝t3/2s = \int v\,dt \propto t^{3/2}
  4. So the answer is (c) t3/2t^{3/2}.
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