MIT Mystery Hunt 2020/Drawing Board: Difference between revisions
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|author = John Ananny |
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|answer = ROUGH CALCULATION |
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|solves = 41 |
|solves = 41 |
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|guesses = 54 |
|guesses = 54 |
Latest revision as of 04:50, 13 September 2022
Drawing Board | |
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MIT Mystery Hunt 2020 | |
Wizard's Hollow | |
Author(s) | John Ananny |
Answer | Click to revealROUGH CALCULATION |
Statistics | |
No. solves | 41 |
No. total guesses | 54 |
Links | |
Puzzle | Link |
Solution | Link |
Drawing Board is a physics puzzle from the Wizard's Hollow round of the 2020 MIT Mystery Hunt. It is presented as a series of sketches detailing the layout of a proposed roller coaster.
Puzzle Elements[edit | edit source]
Flavortext - Geez, kid. You're the most enthusiastic intern we've ever had, but this roller coaster design needs a lot of work. Back to the drawing board... J
Hint in Flavortext - A very subtle hint, but the "Geez" at the beginning is meant to clue at the usage of g as the unit of acceleration of choice for this puzzle.
Knowledge Required (Physics) - The majority of this puzzle involves calculations using centripetal acceleration (a = v2/r
) and conversions between potential and kinetic energy (mgh = (mv2)/2
). At each place where the roller coaster experiences acceleration (at the bottom of a loop, at the top of a loop, and during sections of free fall), calculate the acceleration in terms of g.
Alphanumeric Extraction - The accelerations turn out to be (within rounding error) integer multiples of g, where the integer is at most 26. Converting these to letters yields the answer to this puzzle.