Minimum and terminal velocities in projectile motion

The motion of a projectile with horizontal initial velocity V0, moving under the action of the gravitational field and a drug force is studied analytically. As it is well known, the projectile reaches a terminal velocity Vterm. There is a curious result concerning the minimum speed Vmin; it turns ou...

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Detalles Bibliográficos
Autores: Miranda, Enrique Nestor, Nikolskaia, S., Riba, R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/40877
Acceso en línea:http://hdl.handle.net/11336/40877
Access Level:acceso abierto
Palabra clave:projectile motion
drag force
Euler equation
terminal velocity
movimento de projétil
força de arrasto
equação de Euler
velocidade terminal
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario:The motion of a projectile with horizontal initial velocity V0, moving under the action of the gravitational field and a drug force is studied analytically. As it is well known, the projectile reaches a terminal velocity Vterm. There is a curious result concerning the minimum speed Vmin; it turns out that the minimum velocity is lower than the terminal one if V0 > Vterm and is lower than the initial one if V0 < Vterm. These results show that the velocity is not a monotonous function. If the initial speed is not horizontal, there is an angle range where the velocity shows the same behavior mentiones previously. Out of that range, the velocity is a monotonous function. These results come out from numerical simulations.