This is a unique AP style free response style question based on the calculus of parametric equations. It includes curve sketching, range, particle collision, and applications of first and second derivative of parametric equations.
This product is best used after your students have completed a full study of parametric equations and their calculus concepts. I typically use it as an individual, take home assessment. I also accompany it with a full written response where students have to describe the processes and operations they used to solve each part of the problem.