Hey everyone, I was hoping I could get some input on this. I'm taking an honors section of Calculus I this semester, and part of the course involves a cumulative honors project. It has to be a minimum 8 page paper, at least a third of which has to be actual calculations, about a topic that goes above and beyond the actual scope of the class. I'm a physics major, so I'm trying to find a physics related topic that would be within the scope of this project. I was considering doing something involving the Calculus of rainbows, but the more I've looked into it, it seems like it would be an extremely complicated topic. A couple of my friends are trying to convince me to do it on Lagrangian Mechanics...but that's seeming like it would be an very complex project. I haven't even started calculus based physics yet, so I feel like that may be too much to take on. I'm having trouble coming up with ideas. I'm doing a project on the formation, life cycle and properties of black holes for the cumulative honors project in my physics class, so something that kind of ties into that concept would be cool. But it by no means has to be related to that project at all. Does anyone have any ideas? Any suggestions would be much appreciated!