@Olivier5,
Your sophistic and fallacious "reasoning" here sounds a lot like what Zeno used to promote Parmenides' ridiculous claim that nothing ever moves, Ollie.
His "proof" that an arrow "never moves" was that the point of the arrowhead was always the same distance from the notch in the shaft used to launch the arrow.
"Proof," right there, sho nuff, eh?
The question isn't, and never was, "does an arrow move with respect to itself." The question is "does it move with respect to the bow, the guy's head it lands in, etc."