Concept explainers
(a)
The construction of
The maximum value of the position coordinate of the particle.
Answer to Problem 11.65P
The curves for
The maximum value of position coordinate of the particle is
Explanation of Solution
Given:
The particle starts from origin with an initial displacement of
Concept used:
The particle moves with constant velocity of
Change in the displacement for the given
Here
Write the formula for acceleration as a time derivative of velocity.
Here
For the duration of time
From the given graph for the time interval
Write the formula to calculate, the acceleration from the data given in the graph.
Here
Calculation:
For the duration of
Substitute
The displacement forthis interval is calculated as follows:
Substitute
Substitute
Substitute
For the time duration
Substitute
The displacement for this time interval is calculated as follows:
Substitute
For the duration
Substitute
The displacement for this interval is calculated as follows:
Substitute
For the time duration
Substitute
The displacement for this interval is calculated as follows:
Substitute
The
The
Therefore, from the graph, the maximum value of displaced particle is
Conclusion:
The curves for
(b)
The values of
Answer to Problem 11.65P
The values of
Explanation of Solution
The
From the
Conclusion:
Thus, the values of
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Chapter 11 Solutions
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