It is raining, and there is no wind. When you are sitting in a stationary car, t

Question

It is raining, and there is no wind. When you are sitting in a stationary car, the rain falls straight down relative to the car and the ground. But when you're driving, the rain appears to hit the windshield at an angle.

If the raindrops fall straight down at a speed of 14 m/s, but appear to make an angle of 45 degrees to the vertical, what is the speed of the car?
Express your answer using two significant figures. (this was question 78 in chapter 3 of the book, but the person who did that problem on cramster did not do the right problem.)

Explanation / Answer

Speed of rain v = 14 m / s Angle with vertical = 45 o Speed of the car with respect to ground v ' = ? We know tan = v ' / v From this v ' = v tan                     = 14 tan 45                     = 14 m / s

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