Trajectory
The curved path that an object follows after it has been thrown or shot into the air.
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 u0 is the initial velocity and is the initial angle made with the x-axis, the trajectory of a particle is described by
x = u0 t cosO
z = u0 t sinO - 1/2 gt^2
where t is the elapsed time and g is the gravitational acceleration, and its velocity components are
ux = u0 cosO
uz = u0 t sinO - gt
Cambridge Advanced Learner's Dictionary & Thesaurus.
Sarafian, H. "The Magic Angles of Projectile Motion." Mathematica in Educ. Res. 9, 20-26, 2000.