The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 7. (a) Verify that f(1) = f(3). f (1) - f (3) = ft ft (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 7.
(a) Verify that f(1) = f(3).
f (1) =
f (3) =
ft
ft
(b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)?
ft/sec
Find that time.
t =
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 7. (a) Verify that f(1) = f(3). f (1) = f (3) = ft ft (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time. t =
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