# The Shanghai Tower Is The Tallest In China. But The Chinese Are Flocking To It For Another Reason

**Calculus**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.

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