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May 2016 Minimizing Times Between Boundary Points on Rectangular Pools
Tonja Miick, Tom Richmond
Missouri J. Math. Sci. 28(1): 2-14 (May 2016). DOI: 10.35834/mjms/1474295351

Abstract

The well-known ``do dogs know calculus'' problem optimizes the travel time from an onshore dog to an offshore stick, given different running and swimming speeds and a straight coastline. Here, we optimize the travel time between two points on the boundary of a rectangular swimming pool, assuming that running speed along the edge differs from the swimming speed.

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Tonja Miick. Tom Richmond. "Minimizing Times Between Boundary Points on Rectangular Pools." Missouri J. Math. Sci. 28 (1) 2 - 14, May 2016. https://doi.org/10.35834/mjms/1474295351

Information

Published: May 2016
First available in Project Euclid: 19 September 2016

zbMATH: 1351.26004
MathSciNet: MR3549803
Digital Object Identifier: 10.35834/mjms/1474295351

Subjects:
Primary: 26A06
Secondary: 65K10

Keywords: optimization

Rights: Copyright © 2016 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.28 • No. 1 • May 2016
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