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Feb 13, 2016 at 4:22 comment added Ian Agol For question 2, I think one may consider the problem of going from A to B at constant rate between two points on half-planes making an angle with each other in 3D (like switching from running horizontally to running up a hill at constant speed). Then project to another plane to get the answer to the changing speed problem.
Apr 1, 2011 at 11:19 comment added Chris Taylor It's nearly trivial if you find the minimum of the square of the length rather than the length (they are related by a monotonic function, hence they have the same minima).
Nov 22, 2010 at 12:59 comment added Steven Gubkin I assign question one as a calculus problem with coordinates given for the two points. Of course, everyone tries to solve this using calculus, but the algebra of finding the zeros of the derivative of the length function is a little tricky. Then when someone asks me to solve the problem, I show them the conceptual solution.
Nov 22, 2010 at 7:27 history answered Darsh Ranjan CC BY-SA 2.5