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 time is given by

• Correct answer
  A

  $\frac{\mathrm{mv}^2}{\mathrm{~T}^2} \cdot \mathrm{t}$
• B

  $\frac{m v^2}{T^2} \cdot t^2$
• C

  $\frac{1}{2} \frac{\mathrm{mv}^2}{\mathrm{~T}^2} \cdot \mathrm{t}$
• D

  $\frac{1}{2} \frac{\mathrm{mv}^2}{\mathrm{~T}^2} \cdot \mathrm{t}^2$

Hence, the correct answer is option: 'A'.