Why the FASTEST Route is NOT Always the Shortest

Let me explain the science…

This concept is incredible. To find the fastest path, you need to perfectly balance two competing factors: path length and steepness. While you want to move towards the end (path length), you also want to take advantage of gravity and move downward to catch that acceleration you receive.

The Brachistochrone curve that synchronizes these two competing aspects is actually something called a cycloid! A cycloid is the curve you receive when you take a point on a circle and trace it as the circle rotates down a flat path. The high steepness at the start allows the ball to gain speed while the straighter part of the curve at the end lets that speed reach its destination in the most direct way.

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Видео Why the FASTEST Route is NOT Always the Shortest канала Frontier Science