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Sine River (Posted on 2024-06-14) Difficulty: 3 of 5
The Sine River is located between y = sin(x) and y = 1 + sin(x) (x in radians, not degrees).
Your starting point is on the shore, at location (0,0) and your destination is location (5,1).

Your running speed is 1 unit per minute.
Your swimming speed is 1/2 units per minute.

Your plan is to divide the trip into three legs (run, then swim, then run) each leg being a straight line. Assuming there is no current in the river (and no wind), what is the minimum travel time to the destination, and by what pathway?

No Solution Yet Submitted by Larry    
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  Subject Author Date
Puzzle ThoughtsK Sengupta2024-06-14 23:41:21
re: computer solution -- an asideCharlie2024-06-14 22:10:02
re: computer solution -- an asideCharlie2024-06-14 22:10:02
SolutionPartial analytic solution w/graphsJer2024-06-14 13:57:26
Solutioncomputer solutionCharlie2024-06-14 13:11:51
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