Let's use Python to model some pitches and see how difficult this is.
really
fast—like 85 to 100 miles per hour. The faster the pitch, the less time a batter has to react and swing the bat, which means you have a greater chance of getting the ball past him for a strike. This requirement has considerably dampened my dream of pitching in the major leagues.In fact, quite a few players have thrown strikes with very low pitch speeds, in one case as low as 31.1 miles per hour, according to theaccount on Twitter.
The gravitational force is pretty easy to deal with, since it's a constant force that depends only on the mass of the ball and the gravitational field . The drag force is more challenging, because the magnitude and direction of this force depend on the velocity of the ball. The problem is that a net force changes the ball’s velocity—but now one of these forces Pretty much the only way to model this motion is with a numerical calculation in which the motion is split into tiny time intervals.
This might seem like a "physics cheat," but there are countless problems that can only be handled this way. Some of my favorite examples are solving
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