High-speed elevators function under two limitations:(1 )

Chapter 4, Problem 4.19

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High-speed elevators function under two limitations:(1 ) the maximum magnitude of vertical acceleration that atypical human body can experience without discomfort isabout 1 .2m/s2, and (2) the typical maximum speedattainable is about 9.0 m/s. You board an elevator on askyscrapers ground floor and are transported 180 m abovethe ground level in three steps: acceleration of magnitude1.2 m/s2 from rest to 9.0 m/s, followed by constant upwardvelocity of 9.0 m/s, then deceleration of magnitude 1.2 m/s2from 9.0 m/s to rest, (a) Determine the elapsed time foreach of these 3 stages. (b) Determine the change in themagnitude of the normal force, expressed as a % of yournormal weight during each stage, (c) What fraction of thetotal transport time does the normal force not equal thepersons weight?

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