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OpenStudy (anonymous):
trajectory of a projectile is the path that a thrown or launched projectile will take under the action of gravity, neglecting all other forces, such as friction from air resistance, without propulsion.
like this one.
There are several equations that apply to projectile motion. A two of them are:
v2 = v1 + at
x2 = x1 + v1t + (1/2)at^2
OpenStudy (vincent-lyon.fr):
Trajectory is the oriented line made of the successive positions of a point in motion, relative to a specific frame of reference.
The equation of the trajectory is obtained from the time equations of the coordinates of the particle*, simply by eliminating time between the equations**.
* e.g. x(t) y(t) z(t) in Cartesian coordinates or r(t) θ(t) z(t) in cylindrical coordinates
** e.g. y=0 ; z=ax²+b
or r=2acosθ ; z=0 in cylindrical coordinates