After recalculating, I get an arc length of 74.551 meters, or about 81 yards. Sounds about right.
I'm sure if Manning threw that (which he would have to throw it 3 times) or Ben would of thrown it , it would be known as the greatest pass ever thrown.
Apparently Joe is at the same California Pizza Kitchen where my friend is. I tried to get him to tell Flacco we calculated the arc length of his throw, but he said no =(
It went far enough, that's all that matters! Unbelievable arm.
This is my first post on this forum; my dad directed me to this thread and Iíve taken an interest. First off, great game, great throw.
I decided to code a computer simulation of Flaccoís throw that takes into account drag and gravity as the primary forces acting on the ball. Once the acceleration was determined, I used the kinematic equations to find the velocity and position of the ball at the next time step. Iíll refrain from going in depth about the calculations and assumptions I used and just give you resultsÖ
Hang Time: 3.21 seconds (people were saying 3.2 seconds)
Distance: 58.9 Yards
Maximum Height: 13.8 Yards
I have to just say I think this stands as one of the most impressive threads I've seen on here in a good while. Kudos to all of you participating in it.
He means 59 years along the ground (or longitudinal distance in his plot).
PWD, any way you can figure the total distance traveled along the arc of the ball?
How far is Flacco able to throw a football maxed out, stepping into it and everything? I can throw a football 58 yards actually. (though not on the run, haha. Putting my entire everything into it.)
By the way, I just straight-up don't believe Kyle Boller threw the ball through the uprights from 60 yards out on his knees. Was that supposed to be true?
Kyle, I got a total arc length of 66.3 yards. And yes Cpt, that is quite different from what you got.
Cpt, maybe Iím misreading this but it looks like in your calculation of max height attained, you used 22.175m/s which strikes me as a total speed instead of vertical speed. Either way, I did a time step simulation which is a very different analysis than the one you performed though we definitely shouldnít be getting results this different. I could easily have errors in my work as I didnít put a great deal of time into this.
Iíll give a brief overview of my method
Drag Force = .5 * density * vel^2 * Reference Area * Coefficient of drag (~.055 for spinning football)
Y-accel = - Gravity Ė [ Drag * sin(pitch angle) ] / mass_of_football
X-accel = - [ Drag * cos(pitch angle) ] / mass_of_football
Y-vel = Y-vel_old + Y-accel * delta_time <- (same format for x, or arc velocity)
Y-position = y-position_old + (y-vel_old + y-vel)/2 * delta_time <-(same format for x, or arc length)
These are performed at each successive time step until y position is less than zero (ball hits ground).
There are some other minor steps and a number of assumptions that Iíve left out.
This thread needs a gif.
If it messes up the thread for those with slow connections let me know and I'll take it off.