A steel ball is launched from an initial height of 5,376 feet. The height of the steel ball at time t seconds is given by h(t) = –16t² + 256t + 5376. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the steel 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 steel ball is launched from an initial height of 5,376 feet. The height of the steel ball at time t seconds is given by h(t) = –16t² + 256t + 5376. Find the time t guaranteed by the Mean Value Theorem when the instantaneous velocity of the steel 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.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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