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## Main Question or Discussion Point

If a car falling from H rides downhill to h and then uphill back to H on a frictionless road and the hills all reach the

Now, if we suppose drag and friction, I suppose that the less the difference H-h, and the less speed, the better, is my intuition right?

I am sure drag increases with speed, what about friction?

Thanks for your attention

**same**altitude H , in theory it can cover any distance, without an engine, right? Of course there shouldn't be sharp curves, something like this http://www.coasterimage.com/wp-content/uploads/2012/03/millenniumforce02wide.jpg [Broken], right? is there an equation for the best profile of the curve?Now, if we suppose drag and friction, I suppose that the less the difference H-h, and the less speed, the better, is my intuition right?

I am sure drag increases with speed, what about friction?

Thanks for your attention

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