The Derivation of Thrills

by Michael Troy

Submitted : Spring 2022

With the information provided in the problem statement, I was able to use a position function to determine how much time it would take for the coaster train to reach the mouth of the tunnel. I then took the derivative of that position function and plugged in the aforementioned time, as well as the initial velocity of zero miles per hour, to determine the coaster’s velocity at the moment it reaches ground level.

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