FYKOS Year 33 Series 2 Problem 1 — fast elevator · FYKOS 33 #33.2.1

Physics · mechanics

Problem

They say that people inside an elevator can bear with acceleration a=2.50 m⋅s−2a = 2.50\,\mathrm{m\cdot s^{-2}} without any major problems. We want to get to the planned floor as soon as possible. If the elevator started running with that acceleration for a quarter of a time, a half of the time went by constant velocity, and the rest quarter of the time it was decelerating, how high it could go by total time of the ride t=1.00 mint = 1.00\,\mathrm{min}?

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