How to Compensate for Uphill/Downhill Shooting
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There are a lot of theories and rules of thumb out there about what to do when shooting up or down a hill. A person's natural instinct typically causes them to compensate in the WRONG direction. When your weapon is sighted in on level ground, your sights take into account the trajectory of the bullet. As the bullet leaves the barrel, it immediately begins to fall, as gravity acts upon it. In fact, a classic physics experiment is to fire a bullet from a gun that is pointed level to the ground and, at the same time, to drop another bullet from the same height, but straight down. In this experiment, it is proven that both bullets will hit the ground at exactly the same time. The forward movement of the bullet is not relevant to the force of gravity that is acting upon it. How far the bullet goes is strictly a factor of how fast it is going and how far off the ground it was when it was launched. As an example, if the bullet is fired from a height that takes 1 second for it to hit the ground, then we can calculate the distance it will travel over level ground before it impacts. A bullet traveling 1000 feet per second will go 1000 feet, a bullet traveling 3000 feet per second will go 3000 feet and a bullet with zero forward velocity will go zero feet. But all will hit the ground in 1 second.

When rifles are sighted in at some distance, say 100 yards, the sights are being set up to factor in this bullet drop. So what happens is that when you are looking through a sight, directly at the target over level ground, your barrel is actually pointed slightly upward. As a result, the bullet travels in an arc that can be plotted as traveling below the extended line of the barrel, yet above the line of sight. After its descent, it lands on the target which is at the line of sight. The force of gravity on that bullet is constant throughout its Shooting uphill and downhillarc.

In our diagram, we can see the center section where the line of sight is level, the barrel is aimed slightly upward as shown by the slight rise of the bullet after firing. Then, since the sight and barrel are properly adjusted, the bullet impacts at the point of aim even though the line of sight and bullet travel path are different.

When shooting uphill things change. Your line of sight seems to be the same but, since it is at an angle, the actual distance is greater. Since your barrel is already pointing upward when sighted in on level ground, shooting uphill points it even further upward. This results in the trajectory of the bullet to be over the target as shown in the upper part of the diagram. If you aim your weapon which has been sighted on level ground directly at the target the bullet will probably sail harmlessly over the top of the target. Of course, the actual angle and distance matter. If the angle and distance is small enough, the difference will be minimal and you may still strike the target. However, as distance gets greater and the angle increases the odds of hitting even a large animal sized target diminish.

Therefore, when shooting uphill, you have to hold your sights below the target in order to hit the target. Many people assume the opposite and end up shooting right over their target.

A similar effect occurs when shooting downhill. Your line of sight is angled downward and so is your barrel. However, your barrel is still pointing higher than the line of sight since it was zeroed for level ground. The net result is the same as shooting uphill. The bullet will overshoot the target as shown in the lower part of the diagram. To compensate for shooting downhill you must also aim below the target in order to have the bullet strike. Assuming the angles and distance are the same the bullet will miss the target by the same amount regardless of whether you are shooting uphill or shooting downhill.

In all cases, gravity acts upon the bullet the same way and the drop rate is always the same. The drop rate is defined by the acceleration rate of gravity on earth, which is always 32 feet/second2.

The confusing result is that whether you're aiming up or down, you should always aim low. This is due to the fact that the barrel and the sight are never in line with one another. When shooting at an angle, the actual distance is always longer, making the bullet not line up with the line of sight as you've adjusted it to on level ground.

 

 

 

 

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