I am doing a project for one of my classes where I have to design a pong player. I decided on the design of using a linear slide with lead screws to control the motion back and fourth along the table with the paddle. My question is concerning the linear speed of the lead screws vs. belt driven rails. The width of the playing field is 4ft and I need to be able to go from one side to the other in a reasonably short amount of time. So I am asking anyone that could might help me out from past experience with belt driven systems or lead/round screw drives what would be more ideal as far as cost/speed/ and degree of difficulty. Thanks in advance
PS i have a 3d sketch of the design if anyone needs a better picture of my objective.