The dog-and-rabbit chase problem as an exercise in introductory kinematics

TL;DR

This paper presents a straightforward solution to the classic dog-and-rabbit chase problem, demonstrating elementary kinematics concepts suitable for introductory physics courses and aiding students in understanding basic motion principles.

Contribution

It offers a simple, educational approach to solving the chase problem, tailored for beginners in physics and mathematical methods, based on teaching experience.

Findings

Effective teaching method for introductory kinematics

Simplified solution accessible to first-year students

Applicable in introductory physics courses worldwide

Abstract

The purpose of this article is to present a simple solution of the classic dog-and-rabbit chase problem which emphasizes the use of concepts of elementary kinematics and, therefore, can be used in introductory mechanics course. The article is based on the teaching experience of introductory mechanics course at Novosibirsk State University for first year physics students which are just beginning to use advanced mathematical methods in physics problems. We hope it will be also useful for students and teachers at other universities too.