This problem is interesting because it exemplifies how engineering applies to a broad range of activities including some, such as this one, that most people would never suspect. The real attraction here stems from the child within. After all, amusement parks are all about amusement, and every amusement park has a roller coaster. Most people enjoy a thrilling roller coaster ride, Six Flag s annual attendance is a testament to this. Peaking interest even further is the hidden complexity of what appears to be a very simple system of ramps, turns and .corkscrews.
Analysis Hold on.
Before this situation can be analyzed, several assumptions must be made. This is necessary to counteract some of the inherent complexity of the task, yet still produces a relatively reliable result. First is the assumption that the car and passenger can be modeled by a particle moving along the track. Second is the assumption that there is no friction between the car and the track. This goes hand in hand with the first assumption.