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October 22, 2009 Checking the NumbersCrossing Over
When a pitch begins its flight towards home plate, the radar gun registers a specific velocity—one that correlates quite strongly to the start speed component of PITCHf/x—which unfortunately becomes the gospel as to how hard the pitch was thrown. Various factors, like the natural loss of velocity as the pitch reaches home plate, the true distance of the release, the actual flight time, the location, when the batter picks the ball up, and what pitch the batter initially anticipated all work together to alter a hitter's perception of velocity. While the differences between starting and ending velocity shifts nothing more than the equilibrium, these other factors either add or subtract perceived velocity, modifying a batter's reaction time as he decides whether or not to swing, and then tries to get good wood on the ball. We have discussed the impact of location and how distance and flight time work, discovering that the Padres' Chris Young releases the ball closer to home than most, adding about 3.2 miles per hour of perception to his fastball. Incorporating the idea of location-based velocity deltas as we recently did, if this theoretical Young pitch were to be thrown up and in, the hitter would need to swing sooner and reduce his reaction time to make solid contact, adding another four miles per hour based on the distance out in front the bat would need to connect with the ball to achieve perfect contact. Young threw it at 85 mph and, without even delving into deception quite yet, the hitter saw a 92.2 mph pitch. Everything comes back to time, and how the actions of a pitcher as well as the corresponding reactions of the hitter, relative to increasing or decreasing the time to pick up a pitch, decide how to react, and then react, work in tandem to make pitches appear faster or slower. Unlike Young, Ian Snell was found to be releasing the ball further from home and therefore overstating his radar gun velocity, while sequencing in a poor fashion that rarely added perceived miles per hour. As the breakdown of his battle with Carlos Guillen showed, Snell routinely registered 91-92 mph on the gun and in PITCHf/x, but his seeming refusal to come inside as well as his innate disadvantage of throwing further from home resulted in a perceived fastball velocity of closer to what Young initially registered. So, that's two pitchers—Snell and Young—with a vast discrepancy in the radar gun reports, and yet they are opposites in perceived fastball velocity. The interesting aspect of both of the areas in perceived velocity we have discussed so far is that one could be changed quite easily at the major league level, while the other would run the risk of screwing up a pitcher's mechanics if you attempted to alter them. For instance, teaching a pitcher to go fastball-up-and-in/changeup-down-and-away, as opposed to the other way around, should not take much effort save for convincing the pitcher as to the correctness of the new sequence; on the other hand, teaching him to stride longer and release his pitch closer to home after utilizing an older set of mechanics for years is a much trickier proposition. In spite of this, however, the sequencing and location-based deltas are extremely important, as they can potentially lead into what is known as the crossover effect, resulting in at-risk pitches being thrown. This 'crossover effect' is summed up by the inverse of that fastball/changeup sequence. Moving a pitch closer in on the hands and raising the eye level of the hitter increases the perceived velocity of the changeup, while the opposite is true of that down-and-away fastball. If the pitcher's changeup registers at 84 mph while his fastball is at 92 mph, both pitches appeared to be the exact same velocity to the hitter if sequenced in that fashion. In other words, the crossover effect can help explain how a pitcher will execute his game plan flawlessly—raising the batter's eye level, moving in and out and throwing different pitches—yet fail miserably. His idea of mixing speeds itself was flawed, since the goal needs to be mixing up the batter's perceptions of what's being thrown, where, and how fast. Because of the location deltas, a pitcher can throw two fastballs in a row, but in different locations, and still mix speeds. The crossover effect, from a more mathematical standpoint, refers to when a pitch falls within four perceived miles per hour of its predecessor.
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This article, and several other recent articles, revolve around various aspects of physics in baseball. There is an excellent site with baseball physics here:
http://webusers.npl.illinois.edu/~a-nathan/pob/index.html
Lots of good stuff
Alan Nathan is a friend of mine and he has been extremely helpful with regards to my research on perceived velocity thus far. So yes, double recommendation to go to his site.