2000010804

For a given object to move with uniform acceleration, the engine must perform work that is related with time by the formula $$W=3t^2,$$ where work $W$ is measured in joules and time $t$ is measured in seconds. Determine the instantaneous engine power at time $t=4\mathrm{s}$. (Hint: Instantaneous power of a given object can be expressed as the derivative of work function with respect to time: $P(t)=\frac{\mathrm{d}W}{\mathrm{d}t}$.)