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A person moves 30m north and then 20 m t...

A person moves 30m north and 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

From figure , vec(OA) = 0 hati + 30 hatj , vec(AB) = 20 hati + 0 hatj`
`vec(BC) = -30 sqrt2 cos 45^@ hati - 30 sqrt2 sin 45^@ hatj`
` = -30 hati - 30 hatj`
Net displacement
` overset(OC) = overset(OA) + vec(AB) + vec(BC) = -10 hati + 0 hatj`
`|vec(OC)| = 10 m` .
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