A man is walking due south at 5km/h. The wind is blowing from the west at 8km/h. Find the magnitude and direction of the velocity of the wind relative to the man.

Question

jamesj · Answer

Let $ v_{wind} $ be the velocity of the wind; and $ v_{man} $ the velocity of the man.  Then the velocity of the wind relative to the man is
$$ v_{wind} - v_{man} $$

Use this to draw a vector diagram and calculate the magnitude and direction of the vector.