Acar travels due east with a speed of 40.0 km/h. raindrops are falling at a constant speed vertically with respect to the earth. the traces of the rain on the side windows of the car make an angle of 64.0° with the vertical. find the velocity of the rain with respect to the car and the earth. (enter the magnitude of the velocity.)

The velocity of rain with respect to earth is 23.1 km/h.

Explanation:

Let

be the velocity of rain with respect to ground

be the velocity of car with respect to ground

It is given that

Now the velocity of rain with respect to car is given by

since the rain is falling vertically downwards

Thus the relative angle of the rain made with vertical  with respect to car is given by

Applying values we get

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