(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hotel elevator ascends 200 m with a maximum speed of 4.8 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? (Answer in Meters)

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

2. Relevant equations

Velocity= delta-x/ delta-t

Acceleration= Delta-v/ delta-t

3. The attempt at a solution

For some reason I can't reason this one out. I have attempted to graph the velocity vs. time graph (which I believe will hold the solutions) and my graph turned out to be a triangle with a little below the x-axis. Yet this graph doesn't look quite right to me, and I can't figure out how to derive the correct velocity vs. time graph from the given information. I have also tried to draw the acceleration graph, slowly speeding up the elevator (1 m/s^2), but my graph has almost leveled out, proving something must be entirely wrong. Pure math isn't doing it for me. Any ideas?

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# Homework Help: Position, Acceleration, and Velocity of an Elevator

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