Problem

Problem

- A car is to be hoisted by elevator to the fourth floor of a parking garage, which is 14 m above the ground. If the elevator can have maximum acceleration of 0.2 m/s20.2 \text{ m/s}^2 and maximum deceleration of 0.1 m/s20.1 \text{ m/s}^2 and can reach a maximum speed of 2.5 m/s2.5 \text{ m/s}, determine the shortest time to make the lift, starting from rest and ending at rest.

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