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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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Solution: Analyzing Motion Using GraphsGive the position

Chapter 3, Problem 33E

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QUESTION:

Problem 33E

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?

 (a heavy object fired straight up from Earth’s surface at 200/ft sec)

Questions & Answers

QUESTION:

Problem 33E

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?

 (a heavy object fired straight up from Earth’s surface at 200/ft sec)

ANSWER:

SOLUTION

Step 1 of 4

Here, we are asked to analyze the motion of an object using graph.

Given the position function, .

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