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Question: A man goes 100 m North then 100 m East and then 20 m North and then 100\(\sqrt{2}\) m South West. Fi...

A man goes 100 m North then 100 m East and then 20 m North and then 1002\sqrt{2} m South West. Find the displacement.

A

20 m West

B

20 m East

C

20 m North

D

20 m South

Answer

20 m North

Explanation

Solution

d = 100j^+100i^+20j^+(−100i^−100j^)=20j^100\widehat{j} + 100\widehat{i} + 20\widehat{j} + \left( - 100\widehat{i} - 100\widehat{j} \right) = 20\widehat{j}