A straight line may be the shortest 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 between two points, but a "Brachistochrone" curve is the path of least timepic.twitter.com/aWPoz9X6i9
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So regardless of the size of the acceleration, it just had to be constant. Any work done on variable acceleration? Would a cycloid still be a brachistochrone if gravity were increasing/decreasing?
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Perhaps the rate of change in the angle of the curve would have to change relative to the change in gravity?
End of conversation
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What about the velocity along the X-axis? If that was faster than "gravity" would that make the hypotenuse the fastest?
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When we can no longer count on gravity, I'm out an' gone!
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