A body of mass $m$ is accelerated uniformly from rest to a speed $v$ in a time $T$. The instantaneous power delivered to the body as a function of time is given by

  • A

    $\frac{{m{v^2}t}}{{{T^2}}}$

  • B

    $\frac{{m{v^2}{t^2}}}{{{T^2}}}$

  • C

    $\frac{1}{2}\,\frac{{m{v^2}t}}{{{T^2}}}$

  • D

    $\frac{1}{2}\,\frac{{m{v^2}{t^2}}}{{{T^2}}}$

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