# 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%.

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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

Step 3

a) The runnerer is halfway means, x=45

...

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### Calculus 