The fastest path isn’t always the shortest. ⏱️➰ The Brachistochrone curve proves that the quickest route between two points isn’t a straight line, but a cycloid—the same path traced by a rolling wheel. Gravity pulls a bead down the steep start, it accelerates, and reaches the end faster than the straight track, even though the distance is longer. First posed by Johann Bernoulli in the 17th century, this puzzle is still one of the most beautiful examples of how nature optimizes time, not distance
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🫡🫡🫡Why the Shortest Path Isn’t Always “Straight” When planning long-distance flights, the shortest route between two points on Earth isn't a straight line on the map it’s a Great Circle. This concept is crucial in aviation and navigation, helping save time, fuel, and money. What’s a Great Circle? * A Great Circle is the shortest distance between two points on the surface of a sphere. * It cuts the Earth into two equal halves (like the equator or any line that goes through the North and South
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✨ The fastest path here is called the brachistochrone curve – the shortest distance isn't always the quickest time. Similarly, in life, the most direct route isn't always the most efficient or fulfilling. So, in the video, we see balls rolling down different paths. What's fascinating is that the ball on the curved path reaches the end first, even though it has to travel a longer distance. The reason boils down to how gravity and speed work together. The steeper start of the curved path gives the
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