The work performed as a function of time for a process is given by W = at³,where a = 2.4 J/s³. What is the instantaneous power output at t = 3.7 s? A) 99 W B) 69 W C) 139 W D) 208 W

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Quizplus · Accepted Answer

The instantaneous power is the derivative of work with respect to time. Differentiating W = at^3 gives P = dW/dt = 3at^2. Substituting a = 2.4 J/s^3 and t = 3.7 s, we get P = 3 * 2.4 * (3.7)^2 = 99 W.

The Work Performed as a Function of Time for a Process