Drawing Board (MIT Mystery Hunt 2020)

Drawing Board
MIT Mystery Hunt 2020
Wizard's Hollow
Author(s)John Ananny
AnswerClick to revealROUGH CALCULATION
Statistics
No. solves41
No. total guesses54
Links
PuzzleLink
SolutionLink

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.