Question

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 of time is:

• A. $\frac{m{v}^2}{T^2}t$
• B. $\frac{m{v}^2}{T^2}{t}^2$
• C. $\frac{m{v}^2}{2T^2}t$
• D. $\frac{m{v}^2}{2T^2}{t}^2$

Answer 1

Answer: (A)

$\frac{m{v}^2}{T^2}t$

$P=mav=m{a}^{2}t=m{\left(\frac{v}{T}\right)}^{2}t$