The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 48 feet per second is f(t) = -16t2 +48t + 6. (a) Verify that f(1) = f (2). (b) According to Rolle's Theorem, what must the velocity be at some time in the interval (1, 2)? Find that time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The height of a ball t seconds after it is thrown upward from a height of 6 feet and with
an initial velocity of 48 feet per second is f(t) = -16t² + 48t + 6.
(a) Verify that f(1) = f (2).
(b) According to Rolle's Theorem, what must the velocity be at some time in the interval (1, 2)?
Find that time.
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 48 feet per second is f(t) = -16t² + 48t + 6. (a) Verify that f(1) = f (2). (b) According to Rolle's Theorem, what must the velocity be at some time in the interval (1, 2)? Find that time.
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