Projectile Motion - Parabolic Trajectory

Parabolic Trajectory

Consider the equations,

,

.

If we eliminate t between these two equations we will obtain the following:

,

This equation is the equation of. Since g, α, and v₀ are constants, the above equation is of the form

,

in which a and b are constants. This is the equation of a parabola, so the path is parabolic. The axis of the parabola is vertical.