ground is given by the function s(t) = - 16t² + 47. Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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If a rock is dropped from a height of 47 ft, its position t seconds after it is dropped until it hits the
ground is given by the function s(t) = − 16t² + 47.
Round values below to 3 decimal places.
How long does it take the rock to hit the ground?
seconds
Find the average velocity of the rock from when it is released until when it hits the ground.
feet per second
What time after the rock is thrown will its instantaneous velocity be equal to its average velocity?
(Apply the Mean Value Theorem)
seconds after it is thrown
Transcribed Image Text:If a rock is dropped from a height of 47 ft, its position t seconds after it is dropped until it hits the ground is given by the function s(t) = − 16t² + 47. Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds Find the average velocity of the rock from when it is released until when it hits the ground. feet per second What time after the rock is thrown will its instantaneous velocity be equal to its average velocity? (Apply the Mean Value Theorem) seconds after it is thrown
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