Apr 18 – 19, 2026
University of Delaware, Sharp Laboratory
US/Eastern timezone
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Galileo's Law of Odd Numbers

Apr 18, 2026, 10:15 AM
15m
University of Delaware, Sharp Laboratory

University of Delaware, Sharp Laboratory

104 The Green, Newark, DE 19716
Talk (15 min) Room 107 (Parallel C)

Speaker

Jan Fiala

Description

Before the formalization of calculus and Newton's laws of motion, Galileo Galilei deduced the nature of uniform acceleration using simple ratios. He discovered that the distance an object falls from rest during successive, equal time intervals is proportional to the sequence of odd numbers (1, 3, 5, 7, …). This talk explores the pedagogical power of Galileo’s Law of Odd Numbers as a bridge between abstract kinematic equations and tangible, historically grounded physics.

Drawing from forthcoming articles in The Physics Teacher—“Analyzing Motion Diagrams: Uncovering Galileo’s Law of Odd Numbers” and “Galileo's Law of Odd Numbers: The Odd Rhythm of Free Fall”—the presentation examines motion diagram analysis, scaling relationships in uniformly accelerated motion, the power of unitless expressions, and related mathematical structures that illuminate free fall in accessible and conceptually rich ways. Attendees will leave with practical, adaptable project ideas that breathe new life into standard kinematics lessons.

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