Applied Project: Calculus of Baseball: Question 3C

In this video I go over Question 3 Part C of the Applied Project: Calculus and Baseball. In Part C I derive the velocity in which the shortstop needs to throw in order to make the total time relayed from the outfielder to the shortstop and finally to the catcher at home plate, to be equal to the time it takes for a direct throw from the outfielder to the back catcher. In determining this, I use the formulas derived from Question 3A and 3B for the total relay time as a function of the distance of the shortstop to the home plate. I also use the distance that minimizes the relay time, which was also derived from Question 3B. The result from this part gives a pretty complex equation that is difficult to solve for the velocity of the shortstop explicitly, so I resort to approximating it graphically by graphing out the relay time and zooming it at the point in which it is equal to the direct throw time from Question 3A.

This is a pretty interesting video and conclusion to this Applied Project and is a great way to learn just how much math and physics goes into the sport of baseball. So make sure to watch this video especially if you are a baseball fan!

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View Video Notes on Steemit: https://steemit.com/baseball/@mes/applied-project-calculus-of-baseball-question-3c

Related Videos:

Applied Project: Calculus of Baseball: Question 3B: https://youtu.be/nmQYeJr75-k

Applied Project: Calculus of Baseball: Question 3A: https://youtu.be/9D6WDz_M6AM
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