"A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-"

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"$P = F.v = mav$

$P = {{mvdv} \over {dt}}$

$\int\limits_0^t {Pdt} = m\int\limits_0^v {vdv}$

$Pt = {{m{v^2}} \over 2}$

$v = \sqrt {{{2Pt} \over m}}$

${{dx} \over {dt}} = \sqrt {{{2Pt} \over m}}$

$\int {dx} = \int {\sqrt {{{2Pt} \over m}} } dt$

$x \propto {t^{3/2}}$"

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-

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A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-

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