For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft. 3rd 2nd Home 90 ft 1st 42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At what rate does the distance between the ball and the batter change when 2 sec have passed?
For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft. 3rd 2nd Home 90 ft 1st 42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At what rate does the distance between the ball and the batter change when 2 sec have passed?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft.
3rd
2nd
Home
90 ft
1st
42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At
what rate does the distance between the ball and the batter change when 2 sec have passed?
43. [T] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30 ft/sec. At
what rate does the distance between the ball and the batter change when the runner has covered one-third of
the distance to first base? (Hint: Recall the law of cosines.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F263edd0f-32ef-44d4-a9f5-bdc5d66df7b1%2Fc3967f84-35b1-4715-b299-f1972d6e3454%2Fx5q6q6l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the following exercises, refer to the figure of baseball diamond, which has sides of 90 ft.
3rd
2nd
Home
90 ft
1st
42. [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24 ft/sec. At
what rate does the distance between the ball and the batter change when 2 sec have passed?
43. [T] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30 ft/sec. At
what rate does the distance between the ball and the batter change when the runner has covered one-third of
the distance to first base? (Hint: Recall the law of cosines.)
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