Question

body goes 40 m east then 30 m north then 70 m west and then 70 m east . Find the displacement and distance travelled by the body? *

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Answer 1

Explanation:

A person moves 30m North then 20m east than 302 meter southwest.

The movement along north direction, Vector OY=30j^

The movement along east direction, Vector YX=20i^

Movement along south west direction,XZ=

302(cosθi^+sinθj^)

Vector XZ=302(cos45A0i^+sin45A0j^)=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 10m West.