A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be modeled as s(t) = −16t² + 256t. What is the velocity of the rock when it first reaches a vertical height of 448 ft? Provide your answer below: ft/s

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
icon
Related questions
Question
A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be modeled as
s(t) = -16t² + 256t. What is the velocity of the rock when it first reaches a vertical height of 448 ft?
Provide your answer below:
ft/s
Transcribed Image Text:A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be modeled as s(t) = -16t² + 256t. What is the velocity of the rock when it first reaches a vertical height of 448 ft? Provide your answer below: ft/s
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,