Brachistochrone Race
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Uploaded by sciencesolutions on Aug 18, 2010
Which car gets to the finish line first?
The Brachistochrone curve is the ideal path that gives the quickest descent. But in addition, the time from any starting point on the track to the bottom of the curve turns out to be the same value, independent of where the car is released. Thus not only do the two cars reach the bottom in the least amount of time possible, they both will always reach the bottom at the same time!
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the green car won!
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@iwontsufferbebroken indeed it is. But that is not bad, since the Brachistochrone has the property, that it is the fastest curve from A to B in the homogenous gravitational field. It is easily shown, that the brachistochrone and the tautochrone are the same. So every brachistochrone has the tautochrone property.
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Isn't this tautochrone problem, not brachistochrone problem?
iwontsufferbebroken 10 months ago 3