You drop a rock into a deep well. You can't see the rock's impact at the bottom, but you hear it after 5 seconds. The depth of the well is feet. Ignore air resistance. The time that passes after you drop the rock has two components: the time it takes the rock to reach the bottom of the well, and the time that it takes the sound of the impact to travel back to you. Assume the speed of sound is 1100 feet per second. Note: After t seconds the rock has reached a depth of d feet where d 16t². =
You drop a rock into a deep well. You can't see the rock's impact at the bottom, but you hear it after 5 seconds. The depth of the well is feet. Ignore air resistance. The time that passes after you drop the rock has two components: the time it takes the rock to reach the bottom of the well, and the time that it takes the sound of the impact to travel back to you. Assume the speed of sound is 1100 feet per second. Note: After t seconds the rock has reached a depth of d feet where d 16t². =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Transcribed Image Text:You drop a rock into a deep well. You can't see the
rock's impact at the bottom, but you hear it after 5
seconds. The depth of the well is
feet.
Ignore air resistance. The time that passes after you
drop the rock has two components: the time it takes the
rock to reach the bottom of the well, and the time that it
takes the sound of the impact to travel back to you.
Assume the speed of sound is 1100 feet per second.
Note: After t seconds the rock has reached a depth of d
feet where
Hint:
d = 16t².
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