fist,
bro. i'm just trying to help you understand the world you live in. the bullet will not slow down due to gravity. i'm sorry, that's just the way it is.
V = Vo + .5*a*t^2
V is velocity.
Vo is the initial velocity.
a is acceleration
t is time
there are three components of velocity in a cartesian coordiante system. If we lable our axis X, Y and Z, there will be Vx, Vy, and Vz components of the velocity.
for this problem we let the positive X axis point toward the EAST, the Z axis points SOUTH, and the Y axis points straight up.
Now Gravity is 32ft/s/s in the negative Y direction.
This means ax=0, ay=-32/ft/s/s, and az=0.
so,
Vx = Vox + .5*ax*t^2
Vy = Voy + .5*ay*t^2
Vz = Voz + .5*az*t^2
plugging in our understanding of gravity we find that low and behold.
Vx = Vox
Vy = Voy +.5*-32*t^2
Vz = Voz
The components in the x and z directions are unaffected by gravity.
your thinking to pratical, of course the bullet will hit the ground eventually, due to the decrease in the Vy, but this problem doesn't address that portion of the motion.
*note: if you look at the equation for Vy you can see that time will always grow, so eventually the second part of that sum will become dominate, and will change the direction of motion.