Posted by MarkB_MI on February 13, 2009 at 18:05:42 from (216.234.125.38):
In Reply to: Okay, riddle me this posted by ScottyHOMEy on February 13, 2009 at 11:28:59:
Any knowledgeable rifleman will tell you that when you shoot on an incline, whether downhill OR UPHILL, your bullet will hit higher than it would if you were shooting the same distance horizontally.
But you're trying to make it too complicated. The effect of gravity on the bullets velocity is insignificant relative to aerodynamic drag. The effect of gravity is to cause the bullet to "fall" from its original, straight-line trajectory. How far the bullet drops is a function of both the actual force of gravity and how long it takes for the bullet to get from the muzzle to the target. The faster the bullet, the less time gravity has to act on the bullet and the less the bullet drops from the straight-line trajectory.
When you are shooting horizontally, the force of gravity is normal (perpendicular) to the bullet's trajectory. So the full force of gravity (32 ft/s2) is working to deflect the bullet from its path. But on a incline, the force of gravity is split into two components; one that deflects the bullet and another that either accelerates or decelerates the bullet. As stated earlier, the acceleration/deceleration effect can be ignored. So what we're concerned with is the force that is normal to the bullet's path. And that force is the acceleration of gravity (32 ft/s2) times the cosine of the angle of trajectory. So for a 45 degree slope, the force of gravity is .707 (the cosine of 45) times 32 ft/s2.
Fortunately, you don't need to take your slide rule into the field with you. Just remember that when shooting uphill or downhill, hold the same sight position you would use for the horizontal distance to the target. So in the case of your 500 ft shot down a 45 degree incline, hold as if the target were only 350 feet away. Simple.
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