Method

1. Using projector, project a cycloid track onto one styrofoam board

2. Cut along cycloid path with X-Acto knife 

3. On second styrofoam board, trace a straight line from beginning

   to the end of the cycloid path. Cut out with X-Acto knife

4. Connect Hot Wheels tracks and hot glue them to both paths along the styrofoam

5. Roll ball bearings down both tracks, and observe the solution to the brachistochrone problem!