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: \(P(t)=\frac{\mathrm{d}W}{\mathrm{d}t}\).)