What is physics? This could get deep and off topic pretty quickly, so I won't start even though I have a lot to say on the subject.
Bluelikeu: Physics or maths I am glad you felt inspired. The formula you use (S = ...) is indeed the one I used, there are a couple of comments I would make for the sake of clarity:
u = initial speed of the object
Should read:
u = initial
vertical velocity of the object
Two points here:
1. Any horizontal movement is irrelevant to the calculation. That is why my formula uses:
u*sin(angle of elevation) where u is the initial velocity of the object. (incidentally u*cos (angle of elevation) will give the horizontal velocity of the object)
2. It is still a velocity not a speed. That is, its direction is important. Imagine the shooter is on top of a hill firing downwards u would then need to be represented by a negative number in your formula.