But since you want me to assess your numbers and consider them I will: Tim's Study w/ DS4 assessment in bold My beliefs are based on a 50 foot rubber, pitch velocity of 30 MPH (and no..I don’t know if that’s the average pitch speed..just a uneducated base number to start with)This is nice that we at least have some hypothetical control values to start with 1) there is a 50 foot pitch distance consideration of resistance, both upward and downward vertical and air resistance to the horizontal velocity of a pitch needing a 3 foot arc to be legal. I will not attempt to include variables such as weather, temperature or elevation. All of which we know have large ramifications on any actual calculated results.Admitting that you are leaving pertinent variables out of your study The considerations being imputed should reduce the initial 30 mph velocity by approx. 12 mph making a pitched ball velocity of 18 mph on contact. estimate of velocity at contact omits variables you claim have large ramifications on results 2) pitching from let’s say for debate 55 feet..This is a ten percent increase in distance so ,let’s assume, the new increased initial pitched ball velocity is increased to 33 mph (just a little more the ten percent of the original 30 mph) Assumes increase in distance requires an equal percentage increase in speed with no support of this assumption...with extra distance traveled before contact there will be more resistance (drag)on the horizontal velocity so lets add 10 percent to that (12 mph reduction plus 10% = 13.2 mph reduction) again fails to include variables that you claim have large ramifications on results and also increase in drag is of equal percentage to increase in distance and assumed increase in speed again with no support for this assumption **a 33 mph initial velocity traveling 55 feet will result in a estimated drag of 13.2 mph which will result in the pitched ball having a velocity of 19.8 mph (3313.2) upon impact of bat. That means the difference between these two 50 and 55 distance pitches is +1.8 mph at estimated point of impact to increase in energy of deflection potential (rebound off the bat). Claimed difference in speed is based upon above mentioned assumptions and estimates which fail to take into account variables which you claim to have large ramifications thus meaning the +1.8 mph figure is completely unsubstantiated A pitch ball increase of 1.8 mph hitting a bat Traveling at a constant of 100 mph ( an estimate of elite players bat speed) with a ball traveling at 19.8 mph equals 119.8 of impact energy compared to at 50 feet that potential energy is 100 swing speed and 18 pitched ball speed for a total of 118 impact energy. That is a total difference of impact speed (pitches ball and swing speed) of +.98%.. again, your point of impact figure for the pitch speed is unsubstantiated and fails to take into account large ramification variables which means by natural result your +.98% figure is also unsubstantiated and thus unreliable Now comes the fun variables part...pitching from 55 feet instead of 50 allows the pitcher more pitched flight time to back up to get set before the batter hits the pitch. Pitching from 55 feet instead of 50 allows the pitcher more flight time if the pitches are of equal speed. Beyond that a blanket statement cannot be made because a pitch thrown from 55 feet can reach the plate with less flight time than a pitch from 50 feet if the further pitch is thrown with sufficient higher velocity. Your claim again fails to take into account large ramification variables This should allow the pitcher to set up approx 7 feet deep at 62 feet compared to around 55 feet (while pitching from 50 feet) Again your numbers are based upon an equal bat exit velocity which would not be the case when increasing pitch speed. Another failure to include large ramification variables. Additionally, you fail to take into consideration the increased forward momentum needed to generate the higher pitch speed and how that impacts the amount of distance a pitcher is able to back up. That’s a SEVEN foot difference..or..8% > distance reaction time. 8% isn’t a lot..but it is more then enough to make up for a 1.8 mph (.98%) increase in speed of contact. Yet again the 8% reaction time increase is based upon numbers which fail to account for large ramification variables. my base initial velocity speed was acquired using a stop watch while watching a video of Andy pitching in The Series. Not the most accurate of methods I understand this was not completely accurate but it was what I had available to try to set the initial release speed for COOP and I to look at. Not the most advised way to go into a scientific debate *according to my “study” it took an average of >1.5 seconds for the ball to reach the hitting zone. How many times did you perform this test with your stopwatch and video? did you remove obvious outlier numbers? is your average of 1.5 seconds based off of 2 timings? 5, 10, 20, 50, 100? * I used 44 feet as my pitching/struck ball distance, and yes, it’s probably just a little more then that but I kept the standard distance throughout my evaluation. At least you kept your unsubstantiated factors constant 44 feet was used because with a pitcher on the front of a rubber and the batter in front of the box I “guessed” that was about the distance... please understand..this is just a ball park get the discussion started evaluation from a guy with one semester of physics. Self admitted that you have limited background in the field being studied. Also again no actual confirmation of distances. For an actual mathematical valuation..I do know...MPH is equal to 1.47 FPS (feet per second). Finally we have a reliable substantiated figure For a ball to travel that distance it would need to average 30 x 1.47 which equals 44.1 feet... so that’s where I got 30 MPH. Ok again..this is a ball park distance calculation and it could easily be much more accurate with on field measurement but..these precise measurement results while being much more precise will have ZERO sway in whether there is more or less reaction time if you pitch a legal usssa pitch from a floating rubber box of 5056 feet from home plate. How can you claim that precise measurements will have zero sway on if there is more or less reaction time from a legal pitch at the the increased distance? Simply in physics there is a speed at which a pitch from 56 feet would have less flight time than a slower pitch from 50 feet, this would also result in an increase in exit velocity on the 56 foot pitch when met with equal velocity swings, which would then mean you have less pitch flight time and a higher speed struck ball returning back at the pitcher plus there is the factor of increased forward pitching momentum to obtain the higher pitch speed which would decrease the ability to back up after release. So again a blanket statement that moving the rubber back alone will increase the amount of reaction time available to a pitcher cannot be made based upon your limited and unsubstantiated numbers 
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