Question

2. If the person instead of 30 m west, moves 30 m along North direction (assume y-axis as North direction) then, What will be its displacement *

2 points

30m

60m

76.15m

0​

Answer 1

Answer:

Correct option is

C

10 m towards west

Given that,

A person moves 30m North then 20m east than 30

2

meter southwest.

The movement along north direction, Vector OY=30

j

^

The movement along east direction, Vector YX=20

i

^

Movement along south west direction,XZ=

30

2

(cosθ

i

^

+sinθ

j

^

)

Vector XZ=30

2

(cos45A

0

i

^

+sin45A

0

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 10m West.