Trajectory -- from Eric Weisstein's World of Physics

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Trajectory

Portions of this entry contributed by Kringle Daly

A trajectory is the path followed by a projectile.

In ballistics, the easiest way to describe a trajectory is by its x- and z-components, with the z component being affected by local gravity. Ignoring air resistance, a particle that is fired from the origin at time t = 0, where is the initial velocity and is the initial angle made with the x-axis, the trajectory of a particle is described by

(1)
(2)

where t is the elapsed time and g is the gravitational acceleration, and its velocity components are
(3)
(4)

Ballistics, Distance, Fall, Height, Hohmann Transfer Orbit, Projectile, Range, Terminal Velocity, Time of Flight




References

Sarafian, H. "The Magic Angles of Projectile Motion." Mathematica in Educ. Res. 9, 20-26, 2000.



© 1996-2007 Eric W. Weisstein

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