An automobile engine of mass M accelerates and a constant power p is applied by the engine. The instantaneous speed of the engine will be

\frac{P t}{2 m}

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\frac{2 P t}{m}

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{(\frac{P t}{2 m})}^{\frac{1}{2}}

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{(\frac{2 P t}{m})}^{\frac{1}{2}}

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Solution

The correct options are
A $\frac{P t}{2 m}$
C $\frac{2 P t}{m}$
$F v = P$ or $M \frac{d v}{d t} v = P$
That is $\int v d v = \int \frac{P}{M} d t$
Hence $v = [2 P t / M]^{1 / 2}$

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An automobile engine of mass M accelerates and a constant power p is applied by the engine. The instantaneous speed of the engine will be

The correct options are A Pt2 m C 2PtmFv=P or Mdvdtv=PThat is ∫vdv=∫PMdtHence v=[2Pt/M]1/2

The correct options are
A $\frac{P t}{2 m}$
C $\frac{2 P t}{m}$
$F v = P$ or $M \frac{d v}{d t} v = P$
That is $\int v d v = \int \frac{P}{M} d t$
Hence $v = [2 P t / M]^{1 / 2}$