Suppose the position function of a moving object is given by s (æ) = Væ. Then the average velocity of the object over the time interval [2, 2+ h] is given by OV /2+h-/2 AV What is the strategy for finding the instantaneous velocity of the object at the exact moment when x = 2? Substitute h = 2 into

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 17OE
icon
Related questions
Topic Video
Question
100%

Solve for self teaching Precalculus 1, NOT GRADED. I will rate and like. Thank you for your work!

Suppose the position function of a moving object is given by s (x) = VT.
Then the average velocity of the object over the time interval [2, 2+ h] is given by
V2+h-/2
AV
h
What is the strategy for finding the instantaneous velocity of the object at the exact moment when x = 2?
O Substitute h = 2 into
V2+h-/2
because this will tell you how the instantaneous velocity at x = 2 relates to the average velocity formula.
Evaluate
/2+h-/2
limp→
h→2
h
because this will tell you how the average velocities are trending as the start/end time moves along the axis to x = 2.
Evaluate
/2+h-/2
limh→0
h
because this will tell you how the average velocities are trending as the width of the time interval shrinks down to a single
instant.
Transcribed Image Text:Suppose the position function of a moving object is given by s (x) = VT. Then the average velocity of the object over the time interval [2, 2+ h] is given by V2+h-/2 AV h What is the strategy for finding the instantaneous velocity of the object at the exact moment when x = 2? O Substitute h = 2 into V2+h-/2 because this will tell you how the instantaneous velocity at x = 2 relates to the average velocity formula. Evaluate /2+h-/2 limp→ h→2 h because this will tell you how the average velocities are trending as the start/end time moves along the axis to x = 2. Evaluate /2+h-/2 limh→0 h because this will tell you how the average velocities are trending as the width of the time interval shrinks down to a single instant.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage