Ballistic trajectory calculation 

Great video .... the basics like this are the foundations for everything in whatever topic

The ballistics will only be a function of the 'initial velocity'. Once the arrow has taken flight is when the ballistics begins.

Nicely done, sir.

Fantastic video, easy and to the point. Thank you!

thanks for the feedback

Are you still monitoring this channel. Would love to know more about this and how to calculate sight tapes for target archery sights.

My former boss had us storing 7 lb. objects 6 feet off the ground. After getting the formula from an ME friend, I calculated that it would really, really hurt if the object fell on my foot.

at 1.42 yes that's true, in a vaccum! Air resistance affects things differently eg feather, vs leadshot, and with the horizontal speed thing, the bullet will in reality fly longer, because of the rifle's zero the bullet has a slight upward trajectory, therefore parabolic calculations need to be applied

Great explaination, Thanks 🤙

Yup... this is where it starts. Thanks for the reminder. PS: it might be fun to add one factor after another to see how to get it more accurate.

Good job I was going to use ballistic coefficients but the deviation will not warrant the extra effort. Thanks for a very visual explanation.

Yes, good point, thanks. I also assume uniform acceleration (hardly ever the case) through the limbs` range of motion, and uniform tension in the string, so I calculated with average acceleration and force by measuring it at every 5cm (2in). Fish scale is hardly scientific, it is by no means a calibrated load cell, but my focus here is not to qualify people in artillery calculations but to improve shooting accuracy by providing a simplistic way to predict ballistic trajectory somewhat reasonably

very nice video! thank you so much!

Thank you sir, now i can send some lead to my annoying neighbor without being detected

You should state that you are assuming constant velocity (arrow doesn't have wind drag). This is a fair assumption for 30 meters but not for 60 meters.

THANK YOU

very helpful. thx

my ar is for home defense only......i adjust my sight parallel to the barrel so my aim will be the same at any distance......im only concerned about the distance where the bullet can travel straight...when it starts to drop, thats too much to worry for a home defense situation

The drop of entity is 6.05 m instead of 5.9 m as your calculator is indicating .

thanks!

Thank you for teaching me this😃

Thank you, this will help me on battlefield 4 :)

Gravity is a good starting place for sure but the dynamics of a projectile through the fluid or medium known as atmosphere is vastly more complex. An arrow seems to use the underside of the shaft surface area to generate lift or at least resist downward motion. The AOA (angle of attack) relative to a horizontal reference is gradually changing. The arrow being an airfoil would have a boundary layer, drag coefficient, laminar flow, and other factors such as Bernoulli's Principle to consider it's trajectory as it transits through velocity decay. By placing an arrow in a wind tunnel (I'm sure someone must have tried it) the drag, upward lift along the underside of the shaft, pressure differentials and a host of data that are beyond my ability to gather would make an interesting test. It would seem that gravity would have pulled the arrow to earth much sooner unless there was some lifting force acting along it's axis to resist a downward motion.

Well this was very helpful!

Where can i find formulas witch take into account air resistance, air temperature, air density and wind with examples?

good video thank you for uploading

I have a question . Is there a formula to figure out a projectile (lead pellet ) fps out of the barrel . A spring loaded piston air rifle that forces air trapped behind the pellet out of the barrel . In front of the spring is a piston that has a seal and it forces all the air thats in the cylinder out and into the barrel . Here is what I know from 4 different pellet weights . I know that with a 11.9 gr pellet the fps is 987 . With a 14.5 gr its 958 and with a 15.43 gr its 946.5 and a 16.36 gr its 899.5 . Knowing this info ,how do I figure out the fps if I used a 18 gr pellet or a 30 gr pellet ?

How do you account for the drop of velocity which will be significant past 500 meters

How do you use this for aiming? If, let's say, the bullet drops 10cm from the distance I'm shooting - how do I know how high i need to aim in my scope?

This is a grade 10 exercise. He did without air resistant, shape of the bullet and drag coefficient. The error is 10% for arrow and 1000% for 900m/s bullet.

HOW Yamato 460mm gun trajectory wee calculated? en.wikipedia.org/wiki/40_cm/45_Type_94_naval_gun what is the speed of falling shell? (above 30km)

You say "All things fall to the ground at the same rate regardless of their masses". Is that 100% true? I always thought materials fell at different speeds according to their density. In other words, the calculations you would use for a projectile made of lead must be different then the calculations for a projectile of another material. Is that correct, because your quote about falling speeds instantly confused me because it contradicted with I always believed about "rate of fall or drop" (for lack of a better term). Not trying to be smartass by the way....

Yes. All objects do fall towards the earth at the same speed, but in a vacuum. Please see the feather and bowling ball experiment on You Tube.

It doesnt work. Ive compared with hornady calculator and it isnt close.

What happens if the target is above you, say at the top of a hill, and you are at the bottom? What would you do then? Thanks

Yard seconds?

need to make a moving target lead chart for competition moving target stage. cant find a program online. they all are basic drop programs,

I just wanna make a calculation where I can enter a coordinate to shoot at and hit that in a mortar like trajectory so I can build it in a game

this is who made the computer this guy.

Learning to calculate velocity in minercraft

Something isn't making sense to me. If I go to one of the many free places online to compute my ballistics I can put in identical information but only changing the BC (ballistic coefficient) and my bullet drop for 2 different bullets traveling the same speed and the same weight, same size etc will have 2 different drop results for a given distance. Therefore you're not calculating in the resistance to air (BC) in your equation UNLESS you're saying both propelled items have the exact same BC. ps, I did like your math though, thanks

Does this apply to Artillery too? I will kinda need it in BCT

Its a similar concept for anti aircraft fire which takes an account of the moving aircraft and the speed of the projectile ... thus they always aim not at the aircraft but a distance ahead of it

Tnnk

im not smart ass but beofre i watch the vid. im gunah predict that its gunah have somthing to do with elevating your arrow above the target and point the arrow a few degreese to the left or right depending on the direction of wind.

Why don't you do 9.8 squared then divided by 2

27×0.8=21.6

If you drop a 1lb ball and fire a 1lb ball at 30km per second 18.6411miles per second at the same time the ball you drop will hit the ground but the ball you fired will orbit the planet

Me calculating hal's (Boomerang bird) trayectory on angry birds:

This is the only time i enjoy math

I'm going to calculate with pencil and paper before I take a shot

Don´t get me wrong, I don´t want to discredit your effort, but honestly: this might be good for small initial speeds and distances but if you´ re shooting for example an air rifle at 80 metres, this goes completely out of the window. The initial (muzzle) velocity is about 880 fps but after about 55 metres, the air resistance has slowed the bullet down to the point where it begins a more or less much steeper descent (depending on the ballistic coefficient of the pellet). Is it really necessary to calculate ballistics for 30 metres? Isn´t it better to put up targets every 5 - 10 metres up to 100 metres and make a small drop scale for your weapon you can take with you anywhere, estimate the distance, just read from the schedule, adjust your scope and hit your target? No calculations needed at all and I dare to say, the result will be much, much more precise.

22 m/sec not 27m/sec

This is part of class 11 in India but we boys are just going with cars not with real practical things, 🙄

Wait, where is my Indian dude to narrate how shit works?

Wow! Great, and thank you from Earth where our gravity is exact by definition to be 9.80665m/s/s at mean sea level and at 45 degrees latitude. I can see that you are from a much bigger planet where your gravity is 2x5.9= 11.8m/s/s and no atmosphere. Great video, though. FJB Out!

Pov: u looked up ballistic looking for Friday night funkin

Ez kill

I am giving up Archery....I hate math...