The Elevator An express elevator is to carry passengers from ground level to a l

Question

The Elevator
An express elevator is to carry passengers from ground level
to a lobby where they can catch elevators to higher
floors. This
express trip is 80m of vertical rise. The constraints for the
design are,

1) that the acceleration cannot change by more than
+- 1.5 m/s^3; that is the jerk is limited to +-1.5 m/s^3; and

2), that the acceleration itself should never exceed +-1.5 m/s^2; and

3) that the velocity should never exceed +-5 m/s.
Find the least time that will take passengers from a stop on
the ground
floor to a stop at the lobby. Determine the piecewise
function that describes velocity during an ascent.

most complete gets the points. :) thank you!

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