Bow in Crysis 3 should be at least this good...

http://www.dumpert.nl/mediabase/6459672/2ea0bd5a/boogschieten_legolasstyle.html

*awaits reactions*

So according to this video we should be able to shoot 3 arrows in 1.12 sec and it's still accurate while jumping. I think the compound bow needs a update.

also accurate when falling, running backwards and can have at least 10 in the air before the first falls to the ground

Not unless you were to put freakin Legolas in that nanosuit.