Wind is blowing in the north direction at a speed of 2 m/s which causes the rain to fall at some angle with the vertical. With what velocity should a cyclist drive so that the rain appears vertical to him??(PLEASE ANSWER IT FAST WITH DIAGRAM AND FULL EXPLANATION)WILL BE VERY THANKFUL.

answer should be 2m/sec in the direction of wind i.e north. the given problem requires the cyclist to move such that the relative velocity in the horizontal plane should be zero so that rain drops appears to fall virtically.hence he requires to move with exactly the same velocity as the rain drops in the horizontal plane so that relative velocity in horizontal plane is zero.Now the rain drops are being carried away with the wind and have same velocity as the wind in horizontal direction that is 2m/sec in north direction hence he should move with 2m/sec in north direction.