Concept explainers
(a)
The total vector displacement.
(a)
Answer to Problem 1P
The displacement is
Explanation of Solution
Draw the figure according to given condition as.
Consider that system has three vectors.
Write the expression for first trip from point
Here,
Write the expression for second trip from point
Here,
Write the expression for third trip from point
Here,
Write the expression for total displacement in three trips.
Here,
Write the expression for magnitude of the displacement.
Here,
Write the expression for direction of vector d as.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Thus the displacement is
(b)
The average speed.
(b)
Answer to Problem 1P
The average speed is
Explanation of Solution
Write the expression for average speed as.
Here,
Conclusion:
Substitute
Simplify further above equation as.
Thus, the average speed is
(c)
The average velocity.
(c)
Answer to Problem 1P
The average velocity is
Explanation of Solution
Write the expression for average velocity as.
Here,
Conclusion:
Substitute
Simplify above equation as.
Thus, the average velocity is
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Chapter 4 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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