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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There is a dinamic explanation to this, the vertical and the more inclined fall of the weight along the longer paths generates a biggest amount of energy ergo the speed of the ball is bigger
well, it's not that simple.. if you want it to go faster you'd just incline it more.. finding this curve indeed isn't trivial as Isaac Newton invented the calculus of variations to solve it
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I DIDN'T SAY IT IS THAT SIMPLE, AFTER A CERTAIN DEGREE OF INCLINATION THE LENGHT OF THE TRAJECTORY WOULD EXCEED THE OTHER, JUST A PROBLEM OF MAXIMUM AND MINIMUN THAT YOU CAN SOLVE WITH DIFFERENTIAL CALCULUS, NEWTON DIDN'T INVENTED IT TO SOLVE THIS PROBLEM AND I JUST EXPLAINED WHY
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