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?
I don't know but it sound like a long walk I don't blame him for acting his breath
its 10.2956301409870003m but i can tell you how i find it i must plan it!
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