a.
To find: When the particle is moving to the right, when moving to the left and when it is stopped.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 3E
The particle is moving to the right for
Explanation of Solution
Given information:
The function
Calculation:
Graph the given function over the given interval.
The graph of
The velocity is positive for
The particle is moving to the left
Conclusion:
The particle is moving to the right for
b.
To find: The particle’s displacement over the given interval, and the final position of the particle if
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 3E
The displacement of the particle is 0. If
Explanation of Solution
Given information:
The function
Calculation:
Integrate the function
The displacement of the particle is 0.
If
Conclusion:
The displacement of the particle is 0. If
c.
To find: The total distance travelled by the particle.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 3E
The total distance traveled by the particle is
Explanation of Solution
Given information:
The function
Calculation:
Find the total distance traveled by the particle over the given interval as follows:
Conclusion:
The total distance traveled by the particle is
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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