Elisha Graves Otis invented the elevator brake in the mid-1800s, making it possible to build tall skyscrapers with fast elevators. Today's skyscrapers are a large fraction of a mile tall; for example, Taipei 101 in Taiwan has 101 stories and is 515 m (0.32 miles) tall. The top speed of the elevator in the Taipei 101 tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator.
a. Working in SI units, make a position-versus-time graph for the elevator. (You may wish to use a spreadsheet program.)
b. Describe the motion of the elevator in words.
c. Find the highest speed of the elevator. When is the elevator going at this speed?
d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?
