Applied Project: Calculus of Baseball: Question 3B

In this video I go over part B of Question 3 of the Applied Project: Calculus and Baseball. In part A I looked at the time it takes for an outfielder to field a ball and throw it directly to the catcher at home plate. In part B however, I look at whether it is faster or slower for the outfielder to throw the ball to the shortstop instead, and then have him throw it to catcher, assuming that the shortstop can throw faster than the outfielder. As this video will show, the time depends on how fast the shortstop can throw. In the example of the shortstop throwing at 105 ft/s, a direct throw is faster, but at 115 ft/s it is better to relay the ball to the shortstop first.

This is a very extensive and detailed video on analyzing both where the shortstop should be relative to the home plate to minimize the time it takes for the ball to get to the catcher, as well as determining at various speeds if it is better to relay or throw directly to the catcher. In minimizing the time, the first derivative test was also utilized. This may be a long video but it is definitely worth watching to understand just how complex the mathematics are behind even the most basic aspects of baseball. But since often times the difference between an out or a run is just fractions of a second, it is important for baseball managers to utilize mathematics in helping get any competitive edge they can!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtNyM2SqGpX5RBT8dg

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

Related Videos:

Applied Project: Calculus of Baseball: Question 3A: https://youtu.be/9D6WDz_M6AM
Applied Project: Calculus of Baseball: Question 2: https://youtu.be/1iaw0PT4hX4
Applied Project: Calculus of Baseball: Question 1: https://youtu.be/qxSoinW3fKY
Applied Project: Calculus of Baseball: Question 1: https://youtu.be/qxSoinW3fKY
Applied Project: How Fast Does a Tank Drain? Question 1: https://youtu.be/KhsbeI9QPls
Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Derivative of y = Log(x) and y = Ln(x): http://youtu.be/5e6MisvvMPE
First Derivative Test: http://youtu.be/9W4ejz0EMtE
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw .

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