Modeling Basketball Free Throws

This paper presents a mathematical model for basketball free throws. It is intended to be a supplement to an existing calculus course and could easily be used as a basis for a calculus project. Students will learn how to apply calculus to model an interesting real-world problem, from problem identif...

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Veröffentlicht in:	SIAM review 2005-12, Vol.47 (4), p.775-798
Hauptverfasser:	Gablonsky, Joerg M., Lang, Andrew S. I. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Air resistance Angular velocity Basketball Calculus Calculus of variations and optimal control Differential equations Earth sciences Earth, ocean, space Education Equations of motion Exact sciences and technology Mathematical analysis Mathematical models Mathematics Mathematics education Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Numerical methods Optimization Sciences and techniques of general use Studies Trajectories Velocity Velocity errors
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Beschreibung
Zusammenfassung:	This paper presents a mathematical model for basketball free throws. It is intended to be a supplement to an existing calculus course and could easily be used as a basis for a calculus project. Students will learn how to apply calculus to model an interesting real-world problem, from problem identification all the way through to interpretation and verification. Along the way we will introduce topics such as optimization (univariate and multiobjective), numerical methods, and differential equations.
ISSN:	0036-1445 1095-7200
DOI:	10.1137/S0036144598339555