#4. Rain is falling at a velocity of 10,0 m/s at an angle of 30* towards the west. At what velocity and direction does a marathon runner have to go in order for him to get rain on his head?

Answer 1

Since the rain is falling with some nonzero downward speed, there is no way the runner can avoid getting rain on his head.

If he runs at just the right speed, the rain will appear to be falling straight down on him.

At any other speed, rain will hit him either in the face or the back of the head, at some angle.