To quote from this wikipedia article:
How is this resolved? It seems a little bit nonsensical but I do get the logic. This has me very confused...In the arrow paradox... Zeno states that for motion to occur, an object must change the position which it occupies. He gives an example of an arrow in flight. He states that in anyone (duration-less) instant of time, the arrow is neither moving to where it is, nor to where it is not. It cannot move to where it is not, because no time elapses for it to move there; it cannot move to where it is, because it is already there. In other words, at every instant of time there is no motion occurring. If everything is motionless at every instant, and time is entirely composed of instants, then motion is impossible.