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Question

Physics Question on Motion in a plane

A person moves 30 m north, from there 20m east and finally 30230\sqrt{2} m south-west from there His displacement from initial position is.

A

10 m west

B

10 m east

C

5 m west

D

5 m east

Answer

10 m west

Explanation

Solution

Sˉ=30j^+20i^+30(i^j^)\bar{S} = 30 \hat{j} + 20 \hat{i} + 30( - \hat{i} - \hat{j}) Sˉ=10j^10mwest\Rightarrow \, \bar{S} = - 10 \hat{j} \, \Rightarrow 10 m \, west