Question
Asked Sep 12, 2019
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A man in a maze makes three consecutive displacements. His first displacement is 8.80 m westward, and the second is 19.0 m northward. At the end of his third displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.

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Step 1

The magnitude and direction of first three displacement of the man is shown below graphically, and d is the magnitude of third displacement.

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yA d 19.0 m 8.80 m

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Step 2

Write the expression for magnitude of third displacement from the graph plotted.

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d (19.0m) (8.80 m) -20.93m

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Step 3

Write the direction of third displac...

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tan 19.0m 8.80m e tan(2.159) =65.140

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