Related Rates - The Baseball Diamond Problem

This calculus video tutorial explains how to solve the baseball diamond problem in related rates.
Introduction to Limits: • Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
Derivative Notations:
• dy/dx, d/dx, and dy/dt...
Related Rates - The Cube:
• Related Rate Problems ...
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Inflated Balloon & Melting Snowball:
• Related Rates - Inflat...
Gravel Dumped Into Conical Tank:
• Related Rates - Gravel...
Related Rates - Area of a Triangle:
• Related Rates - Area o...
Related Rates - The Ladder Problem:
• Related Rates - The La...
Related Rates - The Distance Problem:
• Related Rates - Distan...
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Related Rates - Airplane Problems:
• Related Rates - Airpla...
Related Rates - The Shadow Problem:
• Related Rates - The Sh...
Related Rates - The Baseball Diamond Problem:
• Related Rates - The Ba...
Related Rates - The Angle of Elevation Problem:
• Related Rates - Angle ...
Related Rates - More Practice Problems:
• Related Rates - Conica...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

Next Video: czcams.com/video/dUBeikdfK10/video.html

[@anthonyripanti2013]

Thank you sir, this video was very helpful for my daughters Pre Calculus class! ❤

[@wokaroni]

2:59 I had no idea that the velocity was negative, this helped a lot. Thank you

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for explaining and solving the Baseball Diamond Problem in the Related Rates section of Calculus One. This is an error free video/lecture on CZcams TV with the Organic Chemistry Tutor.

[@rawrtroll4600]

Your explanations of the different related rates problems have helped me so much thank you! Could you also do related rates of ferris wheel? That's one that just doesn't make sense to me.

[@vipin7895]

U makes every thing easy

[@educated_hoe547]

I drew the picture differently that's why I had a positive answer. How can I know if the sign should be negative or positive, or how should I know the proper drawing for the problem?

[@sjt62349]

assumes the domain for t ends when the player reaches 3rd base.

[@gtm-lifts8426]

Nice Video!

[@thevisitor1012]

2:01 How does he know which one is X and which is Y? What's preventing him from switching the values around?

[@dildobaggins2759]

Yeh i got it so the player is travelling from second to third base at 20ft/s across that length. Would that length be more appropriate to be dx/dt or dy/dt? It would be dx/dt as the x axis can also be known as t (time) and he is moving from second base to third base in that length.

[@karlvincentlao6493]

Based on his video, he always reperesent shorter leg of triangle with X and the other leg with Y

[@eudespontesmagalhaesjunior3807]

Congratulations on the excellent resolution of this problem. I was unable to solve these problems like that. Could help me?
In a baseball game (which is played on a square-shaped Diamond 90 feet on each side) between the Brewers and the Cubs, Joe (who is playing left field for the Brewers) hits the ball while at bat and runs toward first base at the rate of 20 feet per second. Just as Joe starts toward first base, his teammate Tony, who had taken a 10-foot lead off second base, starts running toward third base at the same rate of speed. How fast is the distance between Joe and Tony changing at the instant when Tony reaches third base? (MUNEM & FOULIS, problem 16, p.225)

[@neillawrence4198]

Little late, but since no one has replied I just had to!! Tony has a 10 foot lead from second leaving 80 feet to third. This will take 4 seconds to reach. Joe runs 20 ft per second for those 4 seconds reaching 80 feet from home towards first. The problem is now a right triangle with the right angle at home, one leg is the 80 feet Joe is from home, the second leg is from home to third where Joe is now. The distance from Joe to Tony is the distance from Joe to third base, the hypotenuse (H) of the right triangle. The square root of H^2=90^2+80^2 making H = 120.4. Set up the equation solving for dH/dt with x = 80 and dx/dt = 20. dH/dt = 13.29.

[@beetogarcia9983]

Just got this one wrong on a test…so now here I am. (Probably should’ve been here before I guess)

[@danishmirza3477]

Why dx/dt is -ve?

[@alexan406]

I assume you're wondering why dx/dt is negative. If so, is it because the baseball player is running towards 3rd base meaning that the distance from him to the base is decreasing which is why the dx/dt is negative. If however, he was running away from 3rd base, dx/dt would be positive because the distance from him to the base is increasing. Hope this helps.

[@Nikhil_3239]

Nice

[@michaelzanfardino5931]

Im confused about the distance between bases. In ptogsssional baseball the bases are 90 ft apart and in little league they are 60ft.
Is this like Jim carry’s “man on the moon” where you’re subconsciously telling us not to trust the internet: or are you just saying that there are no such things as rules?
Either way phenomenal math and channel. I like choice two. (Child from matrix voice) “there are no rules”

[@NotSoMechanical]

i love you

[@shining_solana789]

MAY 2022 CIVIL ENGINEERING LICENSURE EXAM

[@ohseepinoy9505]

hey U PIN ME IF U LOVE MATH SO MUCH LIKE ME

[@johnnapolitano1755]

Baseball diamonds have bases 90 feet apart, not 120.

[@holdencontreras7521]

Where you playing Where thebasepaths are 120ft?😂