What is the value of t when the instantaneous velocity is equal to the average velocity of a rock that is dropped from an initial height of 144 feet if the equation below models the height at time t seconds? (Note that the Mean Value Theorem guarantees such a value of t.) h(t) --16+144 Assume the interval under consideration is [0,t ] wheretis the time that the rock hits the ground. (Do not include "t"or "seconds" in your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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What is the value of t when the instantaneous velocity is equal to the average velocity of a rock that is dropped from an
initial height of 144 feet if the equation below models the height at time t seconds? (Note that the Mean Value Theorem
guarantees such a value of t.)
h(t) --16+144
Assume the interval under consideration is [0,t ] wheretis the time that the rock hits the ground.
(Do not include "t"or "seconds" in your answer.)
Transcribed Image Text:What is the value of t when the instantaneous velocity is equal to the average velocity of a rock that is dropped from an initial height of 144 feet if the equation below models the height at time t seconds? (Note that the Mean Value Theorem guarantees such a value of t.) h(t) --16+144 Assume the interval under consideration is [0,t ] wheretis the time that the rock hits the ground. (Do not include "t"or "seconds" in your answer.)
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