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**need help with rolling sphere problem....**

## Homework Statement

i have to design a track for a rigid sphere moving under the force of gravity. I need to come up with two paths/curves in the vertical plane and prove which one is the fastest. Origin point is (0,0) and ending point is (3,-1.5).

## Homework Equations

## The Attempt at a Solution

I am thinking that i should prove a straight line isn't as fast as a curve. Any ideas as to how to go about doing this. I believe i could use excel to help run some equations. Thanks for your help...