Taking The Shot Making The Shot Math of the Bullet Leaving the Gun A Bit of Arch is Needed Putting a Spin on it The math of making the "shot" begins before the trigger is pulled.

Making the shot involves a serious amount of math and timing it all starts with calculating the distance between the tip of the gun barrel and the selected target.

A Sniper, in this case, has a scope that has a specific set of markings in a grid form to tell him, using math and depth of field perception, how far the target is away from him. In an ideal case (no air resistance or friction), the bullet takes the path of a parabola (no air resistance), meaning shooting in a vacuum or a very short distance so the air does not have enough time to affect the small bullet.

A parabola, or a "u" shaped path y=ax^2+bx+c, is the formula to find the shape of the path the bullet travels and its distance.

If we use this form: y=ax^2+bx+c

a = 1/2 the acceleration from gravity the bullet revives on its flight

b= the initial velocity of the bullet leaving the gun

c=the initial height in feet of the bullet

The acceleration from gravity is -32ft/s^2 the formula is negative because gravity pulls it downward. On an (x,y) plane in this case to find where the bullet will be in 200 feet, plug 200 in for x and the solution of the equation will give you the y, or in other words where the bullet will end up.

For example, when an object is 400ft away and 10ft above you plug the 400 in for the "x" and 10 in for the "y." The formula will show the angle the bullet needs to travel to hit the target dead on. This is done when air resistance and gravity takes a tole on the parabola and the shooter has to take this into account, compensating for it by raising the gun barrel up at a higher angle. A gun barrel "rifles," in that it has grooves that make the bullet spin, the function of this innovation inside a gun barrel is to give the bullet angular momentum, which keeps the bullet pointed straight ahead.

If you would shot the bullet straight, it would tumble, have turbulence, and a more unpredictable path. Why These Shots are Different A sniper rifle bullet is heavier, thus air resistance does not have as great of an effect on it. The specialized bullet is also more aerodynamic cutting through the air more effectively. The force of air resistance, in this case, on a bullet depends on the cross-sectional area (the area of the part moving into the wind) and the velocity of the object.

Snipers aren't the only ones who have to use this math to shoot the enemy, drones and land to air missile launcher devices also have to use this math to destroy their targets. Russell Mullane

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# Doping the Scope

Math

by Russell Mullane
on 11 January 2013
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