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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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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