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Question

A man walks 8m towards East and then 6m towards North. His magnitude of displacement is equal to :

A
10m
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B
14m
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C
2m
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D
Zero
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Solution

The correct option is A 10m
Step 1: Displacement Vector [Ref Fig.1]
Displacement of the man is given by
S=8^i+6^jm

Step 2: Resultant calculation [Ref. Fig. 2]
|S|=x2+y2
=82+62=10m

|S|=10m

Hence magnitude of displacement is 10m, Option(A) is correct.

2112461_365751_ans_1ba718989ac940baae0599426201f986.png

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