Ditto what Rick said.
I've both seen, and have experienced for myself, numerous times, African animals 'jump the string' at ranges as close as 10 yards ... and 'jump' so badly that they were SEVERAL feet away by the time the arrow arrived - and from set-up giving as much as 300+ fps set-up at that! That doesn't even include those that merely manage to 'duck the arrow' or change position significantly before it arrives (which is one reason I'm so big on equipment that maxamizes arrow penetration and broadhead performance when the shot doesn't hit where it was supposed to!)
Some of the smaller animals, like impala, warthogs, bushbucks, duikers, etcetera - (all 'favored tid-bits' among African "meat lovers") - are especially notorious. Bow/arrow speed can not make up for a lack of 'quiet'. I've had my best luck with my longbows (and I have, and do, hunt with all types of bows) ... simply because thay are the most silent ... and I do ALL I can to make them that way.
I like to take shots, especially on the 'higher-strung' animals, when they are both relaxed AND occupied ... eating, taking a step, walking along, etcetera.
If one hunts at, or near, water holes, remember that the 'wild' African animals will be VERY ALERT approaching, while at, and while departing water holes. Their 'local pub' is a favorite ambush spot for the predators ... and every WILD, bush-wise, re-hydrating herbivore KNOWS that drinking really CAN be hazordous to their health!
In my experiences, this "entering the biker bar behavior" is not nearly as prevelent on the "game ranch hunts" - which are becoming ever more common as 'wild Africa' rapidly disappears into history - where generations of animals have now lived without the constant LIKELYHOOD of finding some big 'ol hungry meat eat'n critter waiting there for its fast food delivery to arrive!
To some degree, it depends on where in Africa one chooses to hunt as to how, or to what degree, the animals will react. The 'city critters' get just like people ... contented, lazy and complacent ... but even a few of these still seem to remember a little about "how things use to be". They must'o been listening to at least SOME of their grandpaw's stories 'bout the "good'ol days"!! :D
Ed