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A person moves 30 m north,, then 20 m to...

A person moves `30 m` north,`, then `20 m towards east and finally `30sqrt(2) m` in south-west direction. The displacement of the person from the origin will be

A

10 m along North

B

10 m long South

C

10 m along West

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
C
Fro figure, `OA = 0 hat(i)+30 hat(j), AB = 20 hat(i)+0 hat(j)`,
`BC = -30 sqrt(2)cos45^(@)hat(i)-30sqrt(2)sin 45^(@)hat(j)`
`=-30 hat(i)-30hat(j)`

`therefore` Net displacement,
`OC=OA+AB+BC=-10 hat(i)+0hat(j)`
`|OC|=10 m`
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