Posted by Anonymous on Thursday, January 19, 2012 at 11:38pm.
To a certain extent, the pitcher can control how far the ball drops, or even briefly rises, by varying the top spin that he gives to the ball. They expect you to ignore aerodynamic effects, however.
The time it takes the ball to reach the catcher is
T = 17.7/40.5 = 0.437 s
Next, compute how far the ball will drop due to gravity during that time. Remember that the initial horizontal velocity component is zero.
Use the formula
change in y = (g/2) T^2
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