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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
11 Nov 2021

Given information

Given:  A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 fts.

Step-by-step explanation

Step 1.

To begin, draw a square. To indicate the runner, place a point between home and first base. is the distance from the runner to the first base.

Draw a line from the runner to the second baseman and call it . As stated, the distance from first to second is . We know this triangle is correct because it is right.

We also know We need  
 
Using the equation from above, differentiate wrt to to get,
 
 
 
 

                                                                  

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