9.2 Exercise 1

The U.S. Air Force uses “10gs” (an acceleration equal to $10 \times 9.8 \text{m}/\text{s}^{2}$) as the maximum acceleration a human can withstand (but only for several seconds) and survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average of at most 10gs of acceleration? (Assume the inertial dampeners are offline.)