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

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