Concept explainers
(a)
The average speed of the trip.
(a)
Answer to Problem 42P
The average speed of the trip is
Explanation of Solution
The speed of the speed boat for first
Write the formula for the average speed of the speed boat.
Here,
Conclusion:
Substitute
The average speed of the trip is
(b)
The average velocity of the trip.
(b)
Answer to Problem 42P
The average velocity is
Explanation of Solution
The speed of the speed boat for first
Write the distance covered in west direction.
Here,
Write the distance covered in the direction towards
Here,
The figure below shows the entire trip.
Write the formula for the x-component of the displacement.
Here,
Write the formula for the y-component of the displacement.
Here,
Write the formula for the magnitude of the displacement.
Here,
Write the formula for the angle made by the displacement vector.
Here,
Write the formula for the average velocity.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
The average velocity is
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