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Michael walks 10m north, 3m west, 5m south, 12m east, and then stops to catch his breath. What is the magnitude of his displacement from his original point?

 May 18, 2017
 #1
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I don't know but it sound like a long walk I don't blame him for acting his breath

 May 18, 2017
 #2
avatar+202 
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its 10.2956301409870003m but i can tell you how i find it i must plan it!

 May 18, 2017
 #3
avatar+97967 
+1

 

From (0,0),  we have the following sequential displacements :

 

(0,0) + (0, 10)  = (0, 10)

(0,10) + (-3, 0)  = (-3, 10)

(-3,10) + (0, -5)  = (-3, 5)

(-3, 5) + (12, 0)  =  ( 9, 5)

 

The distance (displacement)  from the original point is  

 

sqrt ( 9^2 + 5^2 )   =  sqrt ( 81 + 25)  =  sqrt (106) ≈ 10.3 m 

 

 

 

cool cool cool

 May 18, 2017

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