At least be accurate when you are trying to use physics to argue against something that is not even the point of the post.
One, an arrow, to be in any way relevant for armored person, needs to have a tip made of a material of the same or higher hardness. A wooden arrow is useless against plate armor. It can't do a thing, nothing, zilch, nada. You can send a million wooden arrows against a single person and even if all of them hit, if that armor really covers the entire body, the person will be perfectly safe. That is because no bow in existence is able to give a wooden arrow enough kinetic energy at any point of its flight to pierce iron/steel plate and the iron/steel chainmail underneath it. This is the lone reason why many cultures were completely wiped out when iron and later steel armors were originally used. Heck, this is one of the large reasons why Romans were so successful in their conquest. They had bronze armor against weapons of inferior material on top of their strategies.
Two, even IF the same material is used, the arrow have no ability to pierce the armor in most cases.
1) An arrow is useless if shot in a ballistic trajectory. The speed of its fall in an arc is not high enough for it to have enough kinetic energy to pierce any metal plated armor with chain mail underneath. The massive "rains of death" that are so loved in movies thus had incredibly low success in killing knights. Basically they could do that only if they managed to hit in-between the holes in the helmet (if those had any) or other parts of the armor (if any). They were successful at wounding and sometimes killing unarmored infantry, but knights?! No. The only knights that regularly died to them were those whose horses were hit, fell down or threw their riders off, and that were trampled afterwards before being able to get up.
2) An arrow rather rapidly loses its kinetic energy. After certain distance it will be ineffective, once again, for the same reason. And an additional one which is point 3.
3) Armors were made to deflect attacks. If you shoot in a straight line at someone in armor that charges at you, you can be almost completely sure you will not pierce his armor no matter the arrow. Unless you use one of the modern bows that strengthen the force and modern arrows that are more dangerous than anyone could dream of when bows were a thing, anyway. The reason is because the force will be deflected. The arrow will simply slide off to the side as that is the easiest path available for it to take. And physics like the easiest path. It will be a bigger threat to the squire behind the knight than it could ever be to the knight himself. This is exactly why "boob shape" is a suicidal idea for an armor, cause the breasts would cause attacks to slide towards the heart instead of away from it.
4) In actual combat, most arrows were massive misses. They were shot randomly early on for easy pickings, to obstruct vision, cause panic etc. When enemies came closer in they were used as nice deterrent to less armored cavalry as horses were easy targets. Though a horse could take a few arrows, even dozens depending on the location and the horse, before it actually was stopped, and heavy cavalry had armored horses as well. In closer range no one used bows. A sword or an axe were far more likely to kill while avoiding being killed.
5) Any plate armor have three layers. The deflecting plate, the mail that is meant to both distribute its weight as well as absorb the force of piercing attacks (like arrows) by "holding" onto the blades instead of the sharp point, and a leather armor underneath to prevent abrasions from the metal part, absorb blunt trauma from blunt attacks and...stop arrows that managed to pierce the metal parts but lost plenty of their force.
In other words, arrows required a number of circumstances to pierce an armor with lethal force. These circumstances did occur in real life...but were exceedingly rare in casual skirmishes. That's why bowmen were quickly routed if they did not manage to set up for a battle and had no means of preventing approach. Add to that the tiredness of archers from both pre-battle activities as well as repeated shots and you have miserable statistics for arrow kills. Don't get me wrong. They were a staple of just about any army since their invention and for a good reason...but they were never the scary bringers of death they are made into in games...until the modern times, anyway with the mechanical bows and specialized arrows.



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Sometimes I think nobody else remembers that show.






