lets get to something else.
You see the radar guns on a pitch as 95 mph. but you never see the speed of a homerun hit off a 95 mph pitch. what is the mph of a ball that travels 400ft and lands 30ft up in the stands?
I’m no physicist, but that ball leaves the bat at a much faster speed than 95 mph. To hit the ball 400 feet, you have to generate a significant amount of bat speed.
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Professor Robert Kemp Adair of Yale University addresses this topic in his 1994 book The Physics of Baseball. I’ve read the book but don’t recall the specific answer myself; I want to say that the initial velocity is around 120-130 mph, but my recollection is very fuzzy.
I have that book, and on p. 52 he says