It's Aircraft Flight Dynamics
30 points: Consider the motion of a projectile in a constant gravity field. The equations of the motion are x=0, y=0, z=-g.
Find the trajectory of the projectile in terms of x(t), y(t), and z(t). You can assume the initial positions are [x0, y0, z0] and the initial velocity is [Vx0, Vy0, Vz0].
Notice: We expect analytical solutions.