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Other ORP type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other ORP type . 2025
License: CC BY
Data sources: Datacite
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An Exploratory Study of Billiard Ball Trajectories Using Quadratic Models in Python

Authors: Kim, Sangwoo;

An Exploratory Study of Billiard Ball Trajectories Using Quadratic Models in Python

Abstract

In this independent research project, I began by modeling the trajectory using the law of reflection based on the angle of incidence and reflection, and then extended the model by approximating the trajectory with a quadratic function. While this worked locally, I noticed limitations when additional factors were considered. For example, the inability to precisely measure velocity and rotational effects limited the accuracy suggesting the need to capture the underlying dynamics using differential equations in future work.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average