Concept explainers
(a)
The distance from the home to the second town.
(a)
Answer to Problem 44P
The distance from the home to the second town is
Explanation of Solution
The speed of the person due east is
Write the expression to calculate the displacement vector.
Here,
Substitute
Write the expression to calculate the magnitude of the displacement.
Conclusion:
Therefore, the distance from the home to the second town is
(b)
The average velocity of the person.
(b)
Answer to Problem 44P
The average velocity of the person is
Explanation of Solution
The time taken towards west of south direction is
Write the expression to calculate the average velocity.
Here,
Substitute
Write the expression to calculate the direction.
The direction is
Conclusion:
Therefore, the average velocity of the person is
(c)
The average velocity during the first two legs of trip.
(c)
Answer to Problem 44P
The average velocity during the first two legs of trip is
Explanation of Solution
The time taken towards west of south direction is
Write the expression to calculate the average velocity.
Here,
Substitute
The direction in this case is just opposite the above part (b). Thus, the direction is
Conclusion:
Thus, the average velocity during the first two legs of trip is
(d)
The average velocity over the entire trip.
(d)
Answer to Problem 44P
The average velocity over the entire trip is
Explanation of Solution
The time taken for the overall is
Write the expression to calculate the average velocity.
Here,
Substitute
Conclusion:
Thus, the average velocity over the entire trip is
(e)
The average velocity for the trip
(e)
Answer to Problem 44P
The average velocity for the trip is
Explanation of Solution
The time taken for the overall is
Write the expression to calculate the average velocity.
Here,
Substitute
Conclusion:
Thus, the average velocity for the trip is
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