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

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

  • B

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

  • C

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

  • D

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

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