BREAKING A PROJECTILE'S VELOCITY INTO ITS COMPONENTS


A projectile shot at some angle above horizontal (q = 0) and vertical (q = 90) has some vertical, or Y velocity component.  This is given by Vy = Vsinq This number is often seen as Voy to remind us that it is an original velocity..
The equation you'd use for the Y position once you have figured out Vy is Y=Yo + (Voy)t -at2/2
"V" is called the muzzle velocity of the projectile.  This would be the "real" velocity that a radar gun would read.
The projectile also has an X component, given by Vx = Vcosq It keeps this velocity throughout its trip.  Then to find X position (horizontal distance) you just use X=(Vx)t

Remember we are neglecting air resistance here.