Friday, 21 February 2020

newtonian mechanics - Path to obtain the shortest traveling time


Asume we have a particle sitting at the point A(0,0) in a gravitational field. (g=9.81) It is going to move along some path to the point B(a,b) Where a>0 and b<0. What is the curve the particle needs to be moving at to arrive at B in the least time possible?


(Fastest curve between two points. )


Example image,, various possible paths.




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