In general, I think that arrows shot at the same speed and angle will travel different distances from different bows, since there are so many forces acting on the arrow other than the main force pushing it toward the target:
--One arrow will be better tuned for the bow than the other, so will have less oscillations and therefore will travel further.
--Different arrows will have different drag and momentum depending on fletching, points, arrow shaft diameter, weight and finish.
--If arrows are tuned identically well for two different bows, but one bow is more centershot than the other, the arrow from the more centershot bow will travel further because it will have less paradox than the other, which is probably another way of saying that it will recover quicker, as was mentioned before.