Related rates: How fast is a runner going to 1st base, as seen from 2nd base?

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SUMMARY

The discussion focuses on calculating the rate at which a baseball player's distance from second base decreases as he runs towards first base, specifically when he is halfway to first base. The player runs at a speed of 28 feet per second, and the geometry of the baseball diamond, a square with sides of 90 feet, is crucial for the calculations. The relationship between the distances is established using the Pythagorean theorem, leading to the need for implicit differentiation to find the rate of change.

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TL;DR Summary: find how fast the distance is changing from 3rd base to a runer going to first base

Mentor note: Thread has been moved from a technical math section, so is missing the homework template.
A baseball diamond is a square with side 90 feet. A batter hits the ball and runs
toward first base with a speed of 28 feet per second.

\item [a] At what rate is his distance from second base decreasing when he is halfway to first base?

Draw a picture of the baseball diamond. The baseball player hits from home base and runs counterclockwise
towards first base. Then the player can continue counterclockwise to reach second
base, followed by third base.

so s^2=90^2+x^2

picture of field
 
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Look, I don't want to give you another infraction for no effort shown on your schoolwork. Your link generates an error.

Please type your work into the forum, and use the "Attach files" link to upload the diagram of the question. Thank you.
 
berkeman said:
Look, I don't want to give you another infraction for no effort shown on your schoolwork. Your link generates an error.

Please type your work into the forum, and use the "Attach files" link to upload the diagram of the question. Thank you.
infraction????
ws07.10.png
 
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berkeman said:
Look, I don't want to give you another infraction for no effort shown on your schoolwork. Your link generates an error.

Please type your work into the forum, and use the "Attach files" link to upload the diagram of the question. Thank you.
I t tried to post a drawing but it never went thru thats parts of hw
 
Use the "Attach files" link below the Edit window to upload a PDF or JPEG image. Please do it in a new reply. Thanks.
 
karush said:
infraction????
Three strikes and your out!
 
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