$A$ body of mass $m$ accelerates uniformly from rest to a speed $v_0$ in time $t_0$. The work done on the body till any time $t$ is

  • A
    $\frac{1}{2} m v_0^2 \left( \frac{t^2}{t_0^2} \right)$
  • B
    $\frac{1}{2} m v_0^2 \left( \frac{t_0}{t} \right)$
  • C
    $m v_0^2 \left( \frac{t}{t_0} \right)$
  • D
    $m v_0^2 \left( \frac{t}{t_0} \right)^3$

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