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Brachistochrone curve

math Maturity 11-13

A ball can roll fast.

Brachistochrone curve.gif
Brachistochrone curve.gif
You might think a straight line is fastest. But a special curve is better. It helps the ball go down quick. This path is not a straight line. It is a curvy shape. Can you find a curve?

45 words
🖼️ Images & Media (6)
File:Brachistochrone.gif
Brachistochrone.gif
File:Brachistochrone_curve.gif
Brachistochrone_curve.gif
File:Galileo's_Shortest_Time_Curve_Conjecture.jpg
Galileo's_Shortest_Time_Curve_Conjecture.jpg
File:Brachistochrone Bernoulli Direct Method.png
Brachistochrone Bernoulli Direct Method.png
File:Path function 2.PNG
Path function 2.PNG
File:Bernoulli Challenge to Newton 1.png
Bernoulli Challenge to Newton 1.png
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📚 Content adapted from Wikipedia | Readability: FK 11.3 | Vital Level 5