Design a Roller Coaster (AP Calculus BC)

In this project students will design a roller coaster. Students will input equations in Desmos, along with domain restrictions, in order to display a roller coaster that has multiple relative extrema, at least one loop, and has no sharp turns.

This is designed for AP Calculus BC students, as they must include an equation in polar form, a set of parametric equations, and they must be able to differentiate.