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Question

A person moves 30m north and then 20m towards east and finally 302m in south-west direction. The displacement of the person from the origin will be

A
10 m along north
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B
10 m long south
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C
10 m along west
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D
Zero
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Solution

The correct option is C 10 m along west

From figure, OA=0i+30j,AB=20i+0j

BC=302cos45i302sin45j=30i30j
Net displacement, OC=OA+AB+BC=10i+0j
|OC|=10 m
From figure we can tell that the direction is towards west.


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