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All the talk about moving the 14U rubber back to 43 feet and the "struggle" many report (and I expect) our pitchers to have making the transition lead me to do some rudimentary physics calculations to see what we are actually dealing with.
I wanted to know how much more the ball is going to drop in that last three feet and what the pitcher is going to have to do to compensate.
The pitcher in this example averages 52mph with her fastball (I am using a fastball so I did not have to adjust for "drop or curve spin"). She is 12U so pitches from a 40 foot rubber (39 feet to the front of the plate). She lets go of the ball approximately 3 feet in front of the rubber and usually 24" above the ground.
So... the ball has to travel 36 feet to get to the front of the plate. Twenty-four inches above the ground at the plate is a strike for most batters so I used that for the pitch location.
Moving her back 3 feet to 43 feet (39 feet of ball travel), how far above the ground would the pitch be? 20.1 inches according to physics; almost four inches lower! That's more than I actually expected. How does she adjust this? She will have to release the ball a little later to create a greater "up angle". The initial "up angle" of the ball at release was 5.75 degrees from the 40 foot rubber. To get the pitch from the 43 foot rubber to cross in the same place, the "up angle" will have to be 6.23 degrees. That's less than half a degree, which does not seem like a huge "physical" change.
How much do pitchers change this angle during a regular at bat? Assume an average strike zone to be 18" to 42" off the ground. To hit the top of the zone from 40 feet with this pitch, the up-angle has to be 7.45 degrees. To hit the bottom of the zone it would have to be 3.04 degrees. A range of 4.41 degrees of initial up-angle being adjusted by the pitcher. The move back is saying you have to adjust only 0.48 degrees.
My conclusion: Physics suggests that the pitcher actually has to do very little differently after moving back 3 feet. AND, the changes that are needed are already being performed, on a MUCH larger scale, in their pitching today. As with most things with teenagers, I'm guessing the "struggle" is primarily between the ears.
The only thing that confuses me more is that, "Why doesn't the DD listen to me like she does her PC?" It would save me alot of $Money$. Have you ever thought of running for president?