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Question

A squirrel starts at a spot on the ground just below a bird feeder. The squirrel moves 10 m north, then 7 m west, then 6 m south, then 4 m east, Where does the squirrel end up, relative to the spot where he started?

A
7 m away at some angle northwest
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B
6 m away at some angle northwest
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C
5 m away at some angle northwest
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D
4 m away at some angle northwest
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E
3 m away at some angle northwest
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Solution

The correct option is E 5 m away at some angle northwest
Total displacement in north =10m ,
total displacement in south 6m ,
as north and south are opposite to each other therefore resultant displacement =106=4m in north direction ,
displacement in east direction =4m ,
displacement in west direction =7m ,
therefore resultant displacement 74=3m in west direction ,
it means he is 4m north and 3m west from his initial position , these two vectors are perpendicular to each other therefore the magnitude of their resultant will be ,
R=42+32=5m in northwest direction


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