A ball is dropped from an initial height of 1,296 feet. The height of the ball at time t seconds is given by h(t) = -16t² + 1296. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the ball is equal to the average velocity during its trajectory. Assume the interval under consideration is [0, t*] where t* is the time that the ball hits the ground. (Do not include "t " or "seconds" in your answer.)
A ball is dropped from an initial height of 1,296 feet. The height of the ball at time t seconds is given by h(t) = -16t² + 1296. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the ball is equal to the average velocity during its trajectory. Assume the interval under consideration is [0, t*] where t* is the time that the ball hits the ground. (Do not include "t " or "seconds" in your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A ball is dropped from an initial height of 1,296 feet. The height of the ball at time t seconds is given by
h(t) = -16t² + 1296. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the ball
is equal to the average velocity during its trajectory.
Assume the interval under consideration is [0, t*] where t* is the time that the ball hits the ground.
(Do not include "t=" or "seconds" in your answer.)
Provide your answer below:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb47bac88-cba5-40e5-9f3f-db7316eb95a3%2F2893cc13-2a7e-472c-aa89-ccb00deca983%2Ffwpv1fr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A ball is dropped from an initial height of 1,296 feet. The height of the ball at time t seconds is given by
h(t) = -16t² + 1296. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the ball
is equal to the average velocity during its trajectory.
Assume the interval under consideration is [0, t*] where t* is the time that the ball hits the ground.
(Do not include "t=" or "seconds" in your answer.)
Provide your answer below:
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