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Author Coleman, Rodney
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-13
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Optimization and Control ♦ math
Abstract If A and B are two points in the plane, with B lower and to the right of A, then we may consider the trajectory of an object travelling from A to B under the influence of gravity. The search for the trajectory minimising the time taken by the object gives rise to a mathematical optimisation problem involving an indefinite integral. Although the solution of this problem is known, a full detailed handling of the problem does not seem to be available. The aim of this article is to provide such a detailed study.
Educational Use Research
Learning Resource Type Article


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