(adsbygoogle = window.adsbygoogle || []).push({}); A hotel elevator ascends 230 m with a maximum speed of 5.8 m/s. Its acceleration and deceleration both have a magnitude of 1.0 m/s2.

(a) How far does the elevator move while accelerating to full speed from rest?

I got this part:

x = v/2a = 5.8/2(1) = 5.8^{2}/2 = 16.82 m

(b) How long does it take to make the complete trip from bottom to top?

I broke the problem up into three sections: the elevator going up (1.0 m/s^{2}), the elevator at rest (0), and the elevator coming back down (-1.0 m/s^{2}). I know that the elevator goes 230 m up and then 230 m down, but I cannot figure out which kinematic equation to use or if I need to use calculus (I have limited calculus knowledge).

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Motion/Time Question

**Physics Forums | Science Articles, Homework Help, Discussion**