The Shanghai Tower Is The Tallest In China. But The Chinese Are Flocking To It For Another ReasonCalculus Level 3
Firstly, the top floor of the building is only 557 meters high. Secondly, in order to prevent accidents to pregnant women, the maximum allowed acceleration is 1.25 m/s\(^2\). Thirdly, for passenger comfort, the maximum jerk (rate of change of acceleration) is 2.50 m/s\(^3 \).
Based on these measurements, what is the shortest time that it would take an elevator to reach the top floor?
Details and assumptions
It actually takes the elevator 55 seconds to ascend 565 meters, due to further physical limitations. You can read more in the Mitsubishi Elevator Technical Paper.