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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

10m along north

B

10m long south

C

10 m along west

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
C

From figure, `vec(OA)=0hati+30hatj,vec(AB)=20hati+0hatj`
`vec(BC)=-30sqrt(2)cos45^@hati-30sqrt(2)sin45^@hatj=-30hati-30hatj`
Net displacement, `vec(OC)=vec(OA)+vec(OB)+vec(BC)=-10hatj+0hatj`
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