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Question

Question: A man goes 10m towards North, then 20m towards east then displacement is...

A man goes 10m towards North, then 20m towards east then displacement is

A

22.5m

B

25m

C

25.5m

D

30m

Answer

22.5m

Explanation

Solution

If we take east as xx -axis and north as yy -axis, then

displacement =20i^+10j^= 20\widehat{i} ⥂ + 10\widehat{j}

So, magnitude of displacement =202+102=105= \sqrt{20^{2} + 10^{2}} = 10\sqrt{5}

= 22.5 m.