I have to do a math exploration to fulfill the requirements toward graduation. Topic can be anything but has to have some connections with math, and the depth of the research question have to reflect the level of math we are learning in school, which is around grade 12 to university first year level.

Since I like badminton, I'm thinking of something badminton related, but I have no idea how badminton can be connected to math. Although the flight path of a bird can be expressed by functions, there isn't enough space for further exploration (at least I cannot think of any).

Can anybody give me some inspiration?