Parametric polygon explorer

This is one of set of applets designed to be a problem posing playground for teachers. In the left hand panel you can choose a polygon whose edge will be traversed by an object moving at constant speed.The right hand panel shows the horizontal (lower right hand panel) and vertical (upper right hand panel) motions of that object as functions of time. The user can control the nature of the polygon (triangle, quad, pentagon) Can you predict the shape of x(time) and y(time) for a polygon? What problems would/could you pose to your students based on this applet?