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:

1. A
   $\frac{m{v}^2}{T}\cdot t$
2. B
   $\frac{m{v}^2}{T^2}\cdot t$
3. C
   $\frac{1}{2}\frac{m{v}^2}{T}\cdot t$
4. D
   $\frac{1}{2}\frac{m{v}^2}{T^2}\cdot t$