Imagine that an entertainment company is coming to Hampton Roads to build the latest in family-friendly theme parks. Along the main street in Physics Land, they intend to have an arcade containing unique new games to entertain and challenge visitors. (These are the types of attractions that normally reward successful guests with stuffed animals or inflatable toys, but here in Physics Land, the winners will receive scientific calculators instead!) You have been hired by the company to develop two physics-based games at least one of which involves circular motion and at least one involves projectile motion (they can include both).

For each game, you must include:

1. An original name for the game/challenge.
2. A clearly labeled diagram or illustration, with dimensions (measurements) of relevant features.
3. A description of the objective of the game and the physics principles involved.
4. A mathematical analysis of how a guest will successfully complete the challenge and beat the game.