(a)
The magnitude and direction of the resultant velocity vector
Answer to Problem 39QAP
The resultant velocity vector
Explanation of Solution
Given:
The magnitude and the directions of the velocity vectors
Formula used:
If
The magnitude of the vector
The angle the vector makes with the x axis is given by,
Calculation:
Assume the +x axis to be directed along the East and the +yaxis along the North.
Draw a vector diagram for the velocities.
The vector
The velocity vector
Calculate the x and y components of the vector
Calculate the magnitude of the resultant velocity vector
Calculate the angle made by the vector with the +x axis (East).
Conclusion:
The resultant velocity vector
(b)
The magnitude and direction of the resultant velocity vector
Answer to Problem 39QAP
The resultant velocity vector
Explanation of Solution
Given:
From part (a), the components of the vectors
Formula used:
If
The magnitude of the vector
The angle made by the vector with the x axis is given by,
Calculation:
Calculate the x and y components of the vector
Calculate the magnitude of the vector
Calculate the angle made by the vector
Since the y component of
Conclusion:
The resultant velocity vector
(c)
The magnitude and the direction of the resultant velocity vector
Answer to Problem 39QAP
The resultant velocity vector
Explanation of Solution
Given:
From part (a), the components of the vectors
Formula used:
If
The magnitude of the vector
The angle made by the vector with the x axis is given by,
Calculation:
Calculate the x and y components of the vector
Calculate the magnitude of the vector
Calculate the angle made by the vector
Conclusion:
The resultant velocity vector
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Chapter 3 Solutions
COLLEGE PHYSICS
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