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A car travels due east with a horizontal speed of 51.8 km/h. Rain is falling vertically...

A car travels due east with a horizontal speed of 51.8 km/h. Rain is falling vertically with respect to Earth. The traces of the rain on the side windows of the car make an angle of 67.8◦ with the vertical. Find the magnitude of the velocity (km/h) of the falling rain before it hits the car. Hint: The three velocity vectors are (1) the velocity of the car with respect to the ground (horizontal), (2) the velocity of the rain with respect to the ground (vertical), and (3) the velocity of the rain with respect to the car (the direction of the traces of the rain on the side windows of the car). As in the previous problems in this assignment, make a triangle using these three vectors, then you can use the trigonometry of a right triangle to solve for the velocity of the rain with respect to the ground

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