Pursuit Curve: Presenting the Classical Problem Using GeoGebra
DOI:
https://doi.org/10.23925/2237-9657.2025.v14i2p145-152Keywords:
GeoGebra, Pursuit Curve, Ordinary Differential EquationsAbstract
The problem of the pursuit curve, commonly presented, modeled, and solved in Differential and Integral Calculus classroom, will be illustrated throughout this paper with the assistance of GeoGebra software. Throughout the text, we will consider the problem of analyzing the solution of the equation obtained by modeling the following problem: determine the trajectory described by a dog, which initially at position (c,0), c>0, runs at speed b toward a cat that leaves the origin at speed a in the direction of the positive y-axis. Once the modeling and solution of the corresponding Initial Value Problem have been completed, it will be possible to analyze the behavior of the curve for different values assigned to the speeds of the dog and cat through the input field, a function present in the GeoGebra software.
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