Related Rates - The Baseball Diamond Problem

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The Organic Chemistry Tutor

Күн бұрын

Пікірлер: 24

@TheOrganicChemistryTutor Жыл бұрын

Related Rates - Free Formula Sheet: bit.ly/48hJymz Next Video: kzbin.info/www/bejne/moallpyhmct-Z5I

@anthonyripanti2013 Жыл бұрын

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

@wokaroni 2 жыл бұрын

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

@georgesadler7830 2 жыл бұрын

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 KZbin TV with the Organic Chemistry Tutor.

@rawrtroll4600 8 ай бұрын

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.

@thevisitor1012 5 жыл бұрын

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

@dildobaggins2759 4 жыл бұрын

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 4 жыл бұрын

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

@vipin7895 6 жыл бұрын

U makes every thing easy

@sjt62349 4 жыл бұрын

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

@gtm-lifts8426 6 жыл бұрын

Nice Video!

@eudespontesmagalhaesjunior3807 4 жыл бұрын

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 2 жыл бұрын

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.

@educated_hoe547 8 ай бұрын

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?

@beetogarcia9983 Жыл бұрын

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

@danishmirza3477 4 жыл бұрын

Why dx/dt is -ve?

@alexan406 3 жыл бұрын

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 6 жыл бұрын

Nice

@michaelzanfardino5931 3 жыл бұрын

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”