Work done in time $t$ on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by

  • A

    $\frac{1}{2}m\,\frac{v}{{{t_1}}}{t^2}$

  • B

    $m\,\frac{{{v}}}{{{t_1}}}{t^2}$

  • C

    $\frac{1}{2}{\left( {\,\frac{{mv}}{{{t_1}}}} \right)^2}{t^2}$

  • D

    $\frac{1}{2}m\,\frac{{{v^2}}}{{{t^2}_1}}{t^2}$

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