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In the process of cleaning your bedroom you move a box of mass, $m$, from the ground up onto a high shelf of height, $h$, above the ground. If it takes you time, $\Delta t$, which of the following expressions best describes the power during the lifting of the box?

A

$P=\dfrac { mgh }{ \Delta t } $

B

$P=mgh\Delta t$

C

$P=\dfrac { 1 }{ 2 } m{ h }^{ 2 }$

D

$P=\dfrac { gh }{ \Delta t } $

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