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. $\frac{mv^{2}}{T^{2}}t$
• B. $\frac{mv^{2}}{T^{2}}t^{2}$
• C. $\frac{mv^{2}}{2T^{2}}t$
• D. $\frac{mv^{2}}{2T^{2}}t^{2}$

Answer 1

Answer: (A)

$\frac{mv^{2}}{T^{2}}t$

Answer 2

P = ma v = ma² t = $m\left( \frac{v}{T} \right)^{2}t$