Question

6. A person moves 30 m north, then 20 m east then 30V2 m south west. His displacement from the origin position is (1) 14 m south-west (3) 10 m west (2) 28 m south (4) 15 m east ca cince​

Answer 1

Answer:

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Answer 2

Answer:

ans. 10m west

Explanation:

Class 11

>>Physics

>>Motion in a Straight Line

>>Distance and Displacement

>>A person moves 30 m north, ...

Question

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A person moves 30 m north, then 30 m east, then 30  

2

​

 m  south-west. His displacement from the original position is:

Medium

Solution

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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.