Answer to Question #3863 in Mechanics | Relativity for mia
velocity of the car.
If we consider the car as a moving system of coordinates, then the velocity of the rain will be the sum of 2 perpendicular vectors: U+V.
As the droplets leave no trace on the back windshield of the car, the resulting vector is parallel to the windshield.
Then |V|=tan(60°)*|U| = sqrt(3)*30 = 52 km/h.
So, the velocity of rain droplets is 52 km per hour.
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