A man moves towards 3 m north then 4 m towards east and finally 5 m towards 37° south of west. His displacement from origin is
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From C the man walks along CD which makes 37 deg with west.
So the horizontal displacement of man from C is
CD cos 37 = 3.993 meters
The vertical displacement of man from C is :
CD sin 37 = 3.009 m
So the displacement of man from the origin (he started from )
horizontal = 4 - 3.993 = 0.007 m
vertical = 3 - 3.009 = -0.009 metre
Magnitude of displacement = 0.007² + (-0.009) ² = 0.00114 meters from origin.
Actually the man is almost at the origin.
So the horizontal displacement of man from C is
CD cos 37 = 3.993 meters
The vertical displacement of man from C is :
CD sin 37 = 3.009 m
So the displacement of man from the origin (he started from )
horizontal = 4 - 3.993 = 0.007 m
vertical = 3 - 3.009 = -0.009 metre
Magnitude of displacement = 0.007² + (-0.009) ² = 0.00114 meters from origin.
Actually the man is almost at the origin.
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