RE: sighting in at close rang
I don't have the exact trajectory figures before me but I can tell you it's pretty close to the truth. Bullets don't fly in a straight line, of course. Neither to they come out of the barrel and start dropping. Your gun actually launches bullet slightly upward (depending on how far you are sighted in) and the bullet goes up for a while and then finally starts curving downwards. By "sighting in" a person has adjusted his sights so that when the bullet comes down it goes through the right spot and the chosen range.
What this means to the shooter is there are actually TWO points on the bullets path where it passes exactly through where you are aiming. One close up to you where the bullet is still on the rise...and one farther out where it comes back through your point of aim the second time.
Hope this helps.