SOLUTION: A person starts walking from home and walks:
6 miles East
3 miles Southeast
4 miles South
3 miles Southwest
2 miles East
This person has walked a total of
Find the tota
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Question 1131485: A person starts walking from home and walks:
6 miles East
3 miles Southeast
4 miles South
3 miles Southwest
2 miles East
This person has walked a total of
Find the total displacement vector for this walk:
If this person walked straight home, they'd have to walk miles
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Using vectors with i = 1 mile east ("x positive") and j = 1 mile north ("y positive"),
6 miles E = <6,0>
3 miles SE = <1.5sqrt(2),-1.5sqrt(2)>
4 miles S = <0,-4>
3 miles SW = <-1.5sqrt(2),-1.5sqrt(2)>
2 miles E = <2,0>
The total distance the person has walked is 6+3+4+3+2 = 19 miles
The total displacement vector is the sum of all the vectors: <8,-4-3sqrt(2)>
The distance the person must walk to walk straight home is the magnitude of the vector: = = = 11.487 miles approximately
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