a.
To find: When the particle is moving to the right, when moving to the left and when it is stopped.
a.
Answer to Problem 7E
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 velocity is negative in the interval
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.
Answer to Problem 7E
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.
Answer to Problem 7E
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
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