Question

A women travels a distance of 1m towards north and then 2m towards east and finally 3m towards south find displacement

Answer 1

Answer:

3 meters would be her displacement.

Answer 2

Answer:

2 √ 2 m

Explanation:

Given :

A women travels :

1 m towards north = j

2 m towards east = 2 i

3 m towards south = - 3 j

Net displacement = j + 2 i - 3 j

= > 2 i - 2 j

Here i represents east direction and - i west direction.

j represent north and - j represent south direction!

Also these are vector representation!

Now magnitude of displacement :

= > √ [ ( 2 )² + ( - 2 )² ] m

= > √ ( 4 + 4 ) m

= > √ 8 m

= > 2 √ 2 m

Hence total displacement is 2 √ 2 m