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Question

A person moves  30m  north and then 20m towards east and finally  302m  in south-west direction. The displacement of the person from the origin will be
  1. 10 m along north 
  2. 10 m long south
  3. 10 m along west
  4. Zero


Solution

The correct option is C 10 m along west

From figure, OA=0i+30j,AB=20i+0j

BC=302cos45i302sin45j=30i30j
Net displacement, OC=OA+AB+BC=10i+0j
|OC|=10 m
From figure we can tell that the direction is  towards  west.

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