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Get Full Access to Thomas' Calculus: Early Transcendentals - 13 Edition - Chapter 3.4 - Problem 36e
Get Full Access to Thomas' Calculus: Early Transcendentals - 13 Edition - Chapter 3.4 - Problem 36e

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# Analyzing Motion Using GraphsGive the position function s

ISBN: 9780321884077 57

## Solution for problem 36E Chapter 3.4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 36E

Problem 36E

Analyzing Motion Using Graphs

Give the position function s = ƒ(t) of an object moving along the s-axis as a function of time t. Graph ƒ together with the velocity function and the acceleration function Comment on the object’s behavior in relation to the signs and values of and a. Include in your commentary such topics as the following:

a. When is the object momentarily at rest?

b. When does it move to the left (down) or to the right (up)?

c. When does it change direction?

d. When does it speed up and slow down?

e. When is it moving fastest (highest speed)? Slowest?

f. When is it farthest from the axis origin?

Step-by-Step Solution:

Solution

Step 1 of 3

In this problem we need to sketch the graph of the given functions and using graph answer the given questions.

Given function , ,

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321884077

This full solution covers the following key subjects: function, Object, moving, axis, speed. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The full step-by-step solution to problem: 36E from chapter: 3.4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Since the solution to 36E from 3.4 chapter was answered, more than 235 students have viewed the full step-by-step answer. The answer to “Analyzing Motion Using GraphsGive the position function s = ƒ(t) of an object moving along the s-axis as a function of time t. Graph ƒ together with the velocity function and the acceleration function Comment on the object’s behavior in relation to the signs and values of and a. Include in your commentary such topics as the following:a. When is the object momentarily at rest?b. When does it move to the left (down) or to the right (up)?c. When does it change direction?d. When does it speed up and slow down?e. When is it moving fastest (highest speed)? Slowest?f. When is it farthest from the axis origin?” is broken down into a number of easy to follow steps, and 107 words.

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