- #1
Eblack904
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Homework Statement
You are an engineer working for a new interstate bullet train start-up company. Your manager, Saul Enderman, is charged with designing the first 1500-meter-long segment of a new train line. (Another team is in charge of designing the remaining segments of the line.) During this initial segment of track, the trains must meet the following criteria:
The train must start at the station at rest (velocity = 0).
The train’s speed must not exceed 24 m/s.
The train’s acceleration must not exceed 1 m/s2.
The train must cover the 1500-meter-long segment in less than 2 minutes (120 seconds).
Your manager has decided that the train’s motion should be described by the function x(t)=0.0011 m/s^3 t^3, where x is the train’s position along the track (with x=0 being the starting position at the station) and t is the amount of time since the train has left the station (with t=0 being the starting time at which the train leaves the station).
Your job is to review your boss’s proposed function and determine which of the above criteria it successfully meets and which it fails to meet. (Hint: It fails at least one.) If your boss’s proposed function fails any of the criteria, propose another function that meets all four criteria. Explain how you reviewed your boss’s function and your function and determined their successes or failures.
Homework Equations
x(t)=0.0011 m/s^3 t^3
or maybe 1500msin^2(pi*t/240s)
The Attempt at a Solution
I have tried to do this using higher and lower power terms and have failed both times. I am so lost at this point