How Does Gravity Affect the Trajectory of an Artillery Shell?

[petitericeball]

Hey, I'm doing a math project on projectiles (I think) and I was wondering how to determine how let's say... an artillery shell would act after it leaves the barrel. I was wondering when the forces of gravity would overcome the initial propulsion force and begin to bring the shell down. I know that the angle of the shot, wind etc. would effect this, but just like a rough estimate.

I'm guessing the flight path would look something like a stretched out parabola, but I'm unsure about how to determine those factors.

 

[kkrizka]

See for more information on projectile motion:
http://id.mind.net/~zona/mstm/physics/mechanics/curvedMotion/projectileMotion/generalSolution/generalSolution.html