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The first is IE ( Initial Energy ) without Centripetal Acceleration added. I have no idea where to even start with this equation, but i assume that Initial Energy is the greatest kinetic Energy, minus the Kinetic Energy at the point you are? I need alot of help there. Final Equation:

**TE - KE**

The second is IE of Individual Track segment with Centripetal Acceleration added. For this, I assume that it is once again the Total Energy minus the Kinetic Energy at that point plus ( Velocity^2 / Radius ) I dont know exactly how to get the radius though ( is it half of the track segment?? ) Final Equation:

**TE - KE + [v^2/(1/2)(TrackSegmentLength)]**

The third is Speed with Centripetal Acceleration. For this I think I have it, but since i have Kinetic Energy as a Given, I would use the Equation

**v=SquareRoot(KE/.5m)**

The fourth is Distance Traveled, for this, wouldnt it be the new track segment plus all of the previous track segments?? Final Equation:

**New Track + All Previous Track**

That is all i have, please correct me on equations if I'm wrong, or if you need clarification id be glad to give it to you.