# The speed of the rain falling vertically is 25?3m/sec. The speed at which the wind is blowing from the west to the east is 25m/s. Find the velocity of the rain experienced by the person standing on the ground.

The velocity of the rain, $underset{v_{r}}{rightarrow}$ = 25√3m/sec = $-25sqrt{3}hat{j}$

The velocity of the wind, $underset{v_{w}}{rightarrow}$= 25m/s = $25hat{i}$

The velocity experienced by the person standing on the ground = $underset{v_{rw}}{rightarrow}$ $left | underset{v_{rw}}{rightarrow} right |$ = $sqrt{(25)^{2}+(25sqrt{3})^{2}}$ = 50m/s