# Drawing Board (MIT Mystery Hunt 2020)

Drawing Board | |
---|---|

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 = v`

) and conversions between potential and kinetic energy (^{2}/r`mgh = (mv`

). 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 ^{2})/2*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.