The elevator starts from rest at the first floor of the building. It can accelerate at 5 ft/s and then decelerate at 2 ft/s. Determine

The elevator starts from rest at the first floor of the building. It can accelerate at 5 ft/s² and then decelerate at 2 ft/s². Determine the shortest time it takes to reach a floor 40 ft above the ground. The elevator starts from rest and then stops. Draw the a-t, v-t, and s-t graphs for the motion.

HIRS 40 ft