Concept explainers
A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the person’s resultant displacement measured from the starting point?
Figure P1.51
The person’s resultant displacement and the direction in the starting point.
Answer to Problem 51P
The person’s resultant displacement in the starting point is
Explanation of Solution
The following figure shows the person going a walk follows the path.
The person going for a walk in the first straight path is
The person going for a second straight line path is
Write the expression for third path of the person moves in x and y component.
Here,
Write the expression for fourth path of the person moves in x and y component.
Here,
Write the expression for net displacement vectors.
Here,
Write the expression for the magnitude of the resultant displacement.
Here,
Write the expression for the direction of the displacement.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the person’s resultant displacement in the starting point is
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Chapter 1 Solutions
Principles of Physics
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