If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t) = -16t²2 + 232. Round values below to 3 decimal places. How long does it take the rock to hit the ground? 3.806 Find the average velocity of the rock from when it is released until when it hits the ground. feet per second -60.969 seconds What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? (Apply the Mean Value Theorem) 1.905 seconds after it is thrown

Calculus: Early Transcendentals
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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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If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it hits the ground
is given by the function s(t) = −16t² + 232.
Round values below to 3 decimal places.
How long does it take the rock to hit the ground?
3.806
Find the average velocity of the rock from when it is released until when it hits the ground.
feet per second
-60.969
seconds
What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? (Apply the
Mean Value Theorem)
1.905
seconds after it is thrown
Transcribed Image Text:If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t) = −16t² + 232. Round values below to 3 decimal places. How long does it take the rock to hit the ground? 3.806 Find the average velocity of the rock from when it is released until when it hits the ground. feet per second -60.969 seconds What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? (Apply the Mean Value Theorem) 1.905 seconds after it is thrown
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