Calculus based Physics

[burty1]

I am attending Cedar Point's Calculus/Physics day on May 15th. For those that don't know, Cedar Point is a world famous amusement park in Sandusky, Ohio.

Anyways, I have to come up with a handful of questions to answer for when I attend. They can be related to their roller coasters or fictitious roller coasters. I know relationships amongst the position funcion, v(t), and a(t). I can also come up with any kind of optimization problems. I'm trying to find/think of one that may somehow relate to the number of people in the park at any given time or the number of people riding the trains within the park, etc.

Anyone have any good examples or resources that you could direct me to?

Thanks,
burty1