E https://webwork.latech.edu/webwork2/Winter201819-MathHnrs241-Tiwari/stewart8e_ch03s09/4/9.8386991009990722. 45902 + 45At least one of the answers above is NOT correct.1 of the questions remains unanswered(1 point) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with aspeed of 22 ft/s.At what rate is his distance from second base changing when he is halfway to first base?Answer22 45/sqrt(902 452) ftsAt what rate is his distance from third base changing at the same moment?Answerft/sNote: You can earn partial credit on this problenm.Preview My Answers Submit AnswersYour score was recorded.You have attempted this problem6 times.ou received a score of 0% for this attempt.lad score is 0%.

Question
Asked Jan 21, 2019
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E https://webwork.latech.edu/webwork2/Winter201819-MathHnrs241-Tiwari/stewart8e_ch03s09/4/
9.83869910099907
22. 45
902 + 45
At least one of the answers above is NOT correct.
1 of the questions remains unanswered
(1 point) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a
speed of 22 ft/s.
At what rate is his distance from second base changing when he is halfway to first base?
Answer22 45/sqrt(902 452) fts
At what rate is his distance from third base changing at the same moment?
Answer
ft/s
Note: You can earn partial credit on this problenm.
Preview My Answers Submit Answers
Your score was recorded.
You have attempted this problem
6 tim
es.
ou received a score of 0% for this attempt.
lad score is 0%.
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E https://webwork.latech.edu/webwork2/Winter201819-MathHnrs241-Tiwari/stewart8e_ch03s09/4/ 9.83869910099907 22. 45 902 + 45 At least one of the answers above is NOT correct. 1 of the questions remains unanswered (1 point) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s. At what rate is his distance from second base changing when he is halfway to first base? Answer22 45/sqrt(902 452) fts At what rate is his distance from third base changing at the same moment? Answer ft/s Note: You can earn partial credit on this problenm. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 6 tim es. ou received a score of 0% for this attempt. lad score is 0%.

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Expert Answer

Step 1

Here, objective is to find the

a )  At what rate the distance from second base changing when he  is half way.

b)   At what rate the distance from third base changing at the same moment.

Step 2

Consider the baseball dimond shown in figure.

then from given data, we have

square with sides length=90ft

let runne'rs distance=x

dx/dt=-22ft/sec

distance from home plate=x

distance from first base=90-x

 

 

 

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Step 3

a) The runnerer is halfway means, x=45

       ...

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Math

Calculus