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04-20-2008, 01:14 PM
Now let's have a closer look on what I'm saying:
http://img181.imageshack.us/img181/5716/szczala2xu3.jpg
1st - the arrow is given an acceleration due to energy given from our hand to the bow string and eventually into the arrow, gravity acceleration is nullified since we hold the arrow. Speed is 0 (at the given moment), so is the kinetic energy, although the arrow has a certain passive energy.
2nd - arrow straight after shooting, there is no forward acceleration from the bow, but the arrow is affected by gravity acceleration (aimed down to the ground), and backward acceleration of the air. The arrow moves with a certain speed cause of the forward acceleration from part 1. The arrow's passive energy is now 0, it all converted into kinetic energy adding to the energy given by the bow.
3rd - the arrow is ascending, yet the speed lowers in time, due to both gravity downward and air backward acceleration. Kinetic energy is dropping, while passive energy rises. Kinetic energy + passive energy = kinetic energy from part 2
4th - the arrow reached it's maximum height. Speed = 0, kinetic energy = 0, passive energy = kinetic energy from part 2
5th - the arrow started descending due to forward (since now) acceleration of gravity. Passive energy drops, while kinetic energy rises, yet again kinetic + passive = kinetic from 2nd point.
6th - the moment of impact, speed = speed from 2nd point, passive energy = 0, kinetic energy = kinetic energy from part 2
Conclusion: Jonne is right, and I'm a dumbass in terms of basic dynamics >.< OFC the 6th point about kinetic energy isn't 100% correct, there are some energy loses due to the fact air (like any material in which the object moves) gives a backward acceleration.
Gravity acceleration also drops some of the kinetic power while the arrow is ascending along the curve, but it gives it back during the descent. It doesn't have to give back exactly 100% of what it took, but it all depends on the shape of the curve.
So basicly: long range shooters should suffer from a decrease in accuracy, but none or very little decrease in damage, while short range should suffer from a damage penalty, cause of the difficulty of shooting an arrow at all (lower chance to give the arrow enought kinetic energy).
http://img181.imageshack.us/img181/5716/szczala2xu3.jpg
1st - the arrow is given an acceleration due to energy given from our hand to the bow string and eventually into the arrow, gravity acceleration is nullified since we hold the arrow. Speed is 0 (at the given moment), so is the kinetic energy, although the arrow has a certain passive energy.
2nd - arrow straight after shooting, there is no forward acceleration from the bow, but the arrow is affected by gravity acceleration (aimed down to the ground), and backward acceleration of the air. The arrow moves with a certain speed cause of the forward acceleration from part 1. The arrow's passive energy is now 0, it all converted into kinetic energy adding to the energy given by the bow.
3rd - the arrow is ascending, yet the speed lowers in time, due to both gravity downward and air backward acceleration. Kinetic energy is dropping, while passive energy rises. Kinetic energy + passive energy = kinetic energy from part 2
4th - the arrow reached it's maximum height. Speed = 0, kinetic energy = 0, passive energy = kinetic energy from part 2
5th - the arrow started descending due to forward (since now) acceleration of gravity. Passive energy drops, while kinetic energy rises, yet again kinetic + passive = kinetic from 2nd point.
6th - the moment of impact, speed = speed from 2nd point, passive energy = 0, kinetic energy = kinetic energy from part 2
Conclusion: Jonne is right, and I'm a dumbass in terms of basic dynamics >.< OFC the 6th point about kinetic energy isn't 100% correct, there are some energy loses due to the fact air (like any material in which the object moves) gives a backward acceleration.
Gravity acceleration also drops some of the kinetic power while the arrow is ascending along the curve, but it gives it back during the descent. It doesn't have to give back exactly 100% of what it took, but it all depends on the shape of the curve.
So basicly: long range shooters should suffer from a decrease in accuracy, but none or very little decrease in damage, while short range should suffer from a damage penalty, cause of the difficulty of shooting an arrow at all (lower chance to give the arrow enought kinetic energy).