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  • Cubo: A Mathematical Journal
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Tartaglia's Bet

Author
Groetsch, C.W.

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1644
Abstract
We discuss an episode in the early history of ballistics and employ elementary calculus to settle an old bet (at least in a simple case). Specifically, for a model of projectile motion in which the resistive force is proportional to the velocity an explicit formula is derived for the optimal angle of projection. This formula involves a log-like function and gives the optimal angle in terms of a single dimensionless parameter that incorporates all of the physical constants in the model.
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Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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