h(t)=−16t^2+5184 The height of a pebble in feet that is dropped is given by the equation above. According to the Mean Value Theorem, there is a time t when the instantaneous velocity of the pebble is equal to the average velocity over the course of its trajectory. Determine the value of this t. Assume the interval under consideration is [0,t^∗] where t^∗ is the time that the pebble hits the ground
h(t)=−16t^2+5184 The height of a pebble in feet that is dropped is given by the equation above. According to the Mean Value Theorem, there is a time t when the instantaneous velocity of the pebble is equal to the average velocity over the course of its trajectory. Determine the value of this t. Assume the interval under consideration is [0,t^∗] where t^∗ is the time that the pebble hits the ground
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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h(t)=−16t^2+5184
The height of a pebble in feet that is dropped is given by the equation above. According to the Mean Value Theorem, there is a time t when the instantaneous velocity of the pebble is equal to the average velocity over the course of its trajectory. Determine the value of this t.
Assume the interval under consideration is [0,t^∗] where t^∗ is the time that the pebble hits the ground.
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