1
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Question

# A person has to go 50 m due south, 40 m due west and 20 m due north to reach his destination. The displacement of the person is

A
50 m
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B
100 m
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C
500 m
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D
0
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Solution

## The correct option is C 50 mOn considering East as positive x-axis and North as positive y-axis.Given A person move 5030 meters south (−50^j), then 4020 meters west(−40^i),then 20302 meters north (20^j).So, the displacement is the sum of three =−50^j−40^i+20^j=−(40^i+30^j)Therefore, his final displacement from its original position =√302+402=50m

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