A persin moves 30 m north, then 20 m eas...

A persin moves 30 m north, then 20 m east and finally 30`sqrt(2)` m south-west. The displacement from the original position is :

A

14 m south-west

B

10 m west

C

28 m south

D

15 m east

Text Solution

Verified by Experts

The correct Answer is:

B

`vec(S)=30hatj,vec(S_(2))=20hati`
`vec(S_(3))=-30sqrt(2)(cos45hati + sin45hatj)`
`vec(S)=vec(S_(1)) + vec(S_(2)) + vec(S_(3))=30hatj + 20hati -30hati-30hatj=-10 hati`

Hence resultant displacement is 10 m (west).

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