Watch the kid sprint 25 meters. If they don't know how to sprint, get them to a running coach or attempt to teach them yourself. That's first.
Second, when they do know how to sprint, record them, and look at the angle of their feet when they are sprinting. Every kid is different. What you want is to replicate that angle for their drive foot, more or less.
Third, the point of controlling the drive/pivot foot angle is two-fold. You want to maximize drive, obviously, but you also want to ensure that the hips do not rotate open early. To maximize drive the pitcher has to maximize the extension of their drive leg using the primary drivers, and that means keeping the hips as square towards the catcher as possible until maximum extension is achieved. At this point the shoulders have already begun to rotate open, thus the hips and shoulders are at different angles which underlies the importance of core strength, because this isn't going to happen properly without it. This also creates stretch across the torso that will help to slingshot the hip open once full leg extension is achieved. The hips and shoulders then realign during this weightless period before again disassociating just before stride foot plant.
Whatever the pivot foot has to do to make that happen for each individual pitcher is what is important. For most kids, that is going to be using the angle that they use best when they're sprinting.
-W
First of all, I am not a PC. I am a TB coach that tries to help his players as much as possible. Therefore I want to learn and make sure I am not stating something incorrectly. As I have read on another site, a coach should "do no harm".
SS - I am in agreement with your point about sprinting. But what I do is ask the pitcher to do a standing long jump with her feet approximately shoulder width apart. I actually have her do this several times. While she is doing that, I notice the alignment of her feet. Whatever position seems to be most comfortable to the individual pitcher, is the angle I want them to emulate with the right foot when pushing off (RH pitcher). Same as your sprinter note. And, with using 45 degrees as the "starting point", I will modify the landing position by the angle difference as well. For example, if her feet are pointed outwards slightly during the standing long jump, I look for a landing slightly less than 45 degrees.
What I have considered is 45 degrees as the ideal landing and 0 as the ideal push off (I am now rethinking that...), taking into consideration that every pitcher is different and modifying the angles from there. So I do not feel they are absolutes but vary by individual.
If I am looking at this incorrectly, I would like to know. Like I said, I want to help these players, not hold them back or hinder their progress.
What has brought me to look at these things is trying to help one pitcher in particular. While playing catch with her a few months ago, I noticed that she was standing on her right foot and shaking her left foot. I asked if she was ok. Of course her response was "yes, I'm fine". I talked to her mom later that evening and learned that she was having pain in her left ankle (landing foot). The next time we played catch, I watched this closely. What I found is that she was landing at nearly a 90 degree angle. It looked very awkward and I was concerned that she was placing extra stress on the ankle because of that angle. I started working on modifying that angle, and it has seemed to help. Again, if my theory on this is incorrect, please let me know. Thanks for the great posts!!