Monday, April 16, 2018

Math is Useful

On social media,  this video clip was posted.  Jerry Miculek shoots a target at 1000 yards with a 9mm handgun.

A keyboard warrior chimes in:
I've seen the video.  I still call bullshit.
It's an ammunition ad.  He's talented as shit, but there's no way.
"I had to aim 80 yards above the target."
Barrel is near parallel to the deck when he takes the shot.

The Rifleman was asked to give his opinion:
If you understand MOA then you can appreciate that from 1000 yards away, 75-80 yards above isn't going to look like much from there. What say you, Recce Rifleman?

The Rifleman gives a response:
Using Trigonometry, the tangent of an angle is equal to the opposite side divided by the adjacent side.  Using 80 yards elevation and 1000 yards distance, and solving for the angle with an arctangent,  the angle would be 4.57 degrees. Barely perceptible muzzle rise.

Using the published data for that 9mm load, and inputting into a ballistic calculator,  the drop would be 2822 inches, or about 78 yards.  Jerry Miculek's stated holdover is correct.

Ammo Link
Muzzle velocity = 975
bc = 0.212
Assume sighted in at 25 yards (common for a handgun) and red dot height above bore is 0.75".

Online ballistic calculator. 

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