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