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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 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?
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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 =10−6=4m in north direction ,displacement in east direction =4m ,displacement in west direction =7m ,therefore resultant displacement 7−4=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
Total displacement in north =10m ,
total displacement in south 6m ,
as north and south are opposite to each other therefore resultant displacement =10−6=4m in north direction ,
displacement in east direction =4m ,
displacement in west direction =7m ,
therefore resultant displacement 7−4=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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