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# Exercises 31–34 give the position function s = ƒ(t) of an ISBN: 9780321717399 65

## Solution for problem 34E Chapter 3.4

University Calculus: Early Transcendentals | 2nd Edition

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Problem 34E

Problem 34E

Exercises 31–34 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 velocity function v(t) = ds/dt = ƒ’(t) and the acceleration function a(t) = d2s/dt2 = ƒ’’(t). Comment on the object’s behavior in relation to the signs and values of v 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 8

In this problem, we have to graph the following function

Velocity, displacement, acceleration.

Step 2 of 8

Step 3 of 8

##### ISBN: 9780321717399

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Exercises 31–34 give the position function s = ƒ(t) of an