Question

a person moves 30m North then 20m east than 30 root 2 metre Southwest his displacement from the origin position will be?plz solve it and send me a photo

Answer 1

from point B take south-west direction. so the diagram will be like this. hope this will help

Answer 2

Answer:

The position of person from origin is 10 m West.

Explanation:

Given that,

A person moves 30 m North then 20 m east than 30 root 2 meter southwest.

The movement along north direction, Vector OY = $30\hat{j}$

The movement along east direction, Vector YX= $20\hat{i}$

Movement along south west direction, XZ

$30\sqrt{2}(cos\thetai+sin\theta j)$

Vector XZ=$30\sqrt{2}(cos 45°i+sin 45°j)$=30i + 30j

Using triangle vector law,

OX = 20i + 30j

XZ = 30i + 30j

In triangle XZO, OZ is resultant from origin.

OZ = OX-XZ

OZ = 20i + 30j - 30i - 30j

OZ = -10i

Hence, The position of person from origin is 10 m West.