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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
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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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