The dog Elvis and pirates

Authors

  • Pavel Leischner Pedagogical Faculty, University of South Bohemia, České Budějovice

Abstract

A dog runs at the speed of v and swims at the speed of u < v. If the dog is at point A on the straight shoreline and tries to get to a ball in the water at point B in the least time, what path should the dog take?

In this article, we discuss three solutions to this optimization problem. The first one uses a discriminant of a quadratic equation with a parameter, the second uses relative velocity. The third approach solves the problem by geometric construction.

Published

2019-10-31

How to Cite

Leischner, P. (2019). The dog Elvis and pirates. MATHEMATICS–PHYSICS–INFORMATICS, 28(4), 253–260. Retrieved from https://mfi.upol.cz/index.php/mfi/article/view/465

Issue

Section

Mathematics