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Q.5. A vehicle was moving at 32 km • $h^{-1}$ towards north. A passenger noticed that rain was striking his body from the east. When the velocity of the vehicle was increased to 64 km • $h^{-1}$, rain appeared to come from the north-east direction. Find the actual velocity and direction of rain.
[from south-east direction at 32$\sqrt{2}$ km • $h^{-1}$ velocity]