Question: A car is to be hoisted by elevator to the third floor of a parking garage, which is 3 6 ft above the ground. If

A car is to be hoisted by elevator to the third floor of a parking garage, which is 36 ft above the ground.
If the elevator can accelerate at 0.3 ft/s^2, decelerate at 0.2 ft/s^2, and reach a maximum speed of 8 ft/s, determine the shortest time to make the lift, starting from rest and ending at rest.

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