The height of a ball t seconds after it is thrown upward from a height of 5 feet and = -16t? + 64t + 5. with an initial velocity of 64 feet per second is f (t) f(3). (a) Verify that f(1) f (1) ft f (3) = ft %3D (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
The height of a ball t seconds after it is thrown upward from a height of 5 feet and
= -16t? + 64t + 5.
with an initial velocity of 64 feet per second is f (t)
f(3).
(a) Verify that f(1)
f (1)
ft
f (3) =
ft
%3D
(b) According to Rolle's Theorem, what must be the velocity at some time in
the interval (1, 3)?
ft/sec
Find that time.
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 5 feet and = -16t? + 64t + 5. with an initial velocity of 64 feet per second is f (t) f(3). (a) Verify that f(1) f (1) ft f (3) = ft %3D (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning