A car is to be hoisted by an elevator to the fourth floor of a parking garage

PHYSICS · Subjective · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

A car is to be hoisted by an elevator to the fourth floor of a parking garage, which is

14\,\text{m}

above the ground. If the elevator has a maximum acceleration of

0.2\,\text{m/s}^2

, a maximum deceleration of

0.1\,\text{m/s}^2

, and a maximum speed of

2.5\,\text{m/s}

, determine the shortest time for the lift, starting and ending at rest.