there is a difference between the disd\tance a missile weapon can throw it.s payload and the range at which it is effectively lethal
An historical example...
An 11 century English longbowman drawing a bow of 150-225 lbs draw
was expected to be able to fire six aimed shot pre minute at 200 yards or less each being leathal to an armoured man. at 200-400 yards he was able to fire three awwows at a time (High arc middle arc and straight on) all three stiking at the same time this is volly fire aimed at masses of men not individuals. They could actually lob arrows at easily twice that range but thos arrows would hit with the force of gravity alone
The english military longbow fired a 40+ inch arrow weighing around three ounces
the mongol comp bow (Arguably the best in it's class) fired a 36 inch arrow weighing two ounces...
Whith it's shorter draw lentgh and smaller size the comp bow is better suited to fast shots and maneuver.thus a mongol archer was gettong ten to fifteen aimed shots per minute!