A car travels due east with a horizontal speed of 44.4 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 68.4 degrees with the vertical.(adsbygoogle = window.adsbygoogle || []).push({});

(a) Find the velocity of the rain with respect to the car.

My attempt:

I thought perhaps I could model the solution from the problem involving the ground velocity of an airplane, as it flies through a wind that blows a different direction.

sin(theta)/V_rain = sin(90)/44.4 km/h

sin(68.4)/V_rain = sin(90)/44.4 km/h

44.4 km/h(0.930) = sin(90)(V_rain)

V_rain = 41.3 km/h

(b) Find the velocity of the rain with respect to Earth.

(Haven't attempted this one yet.)

All the Best,

Zem

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# Rain's velocity with respect to a moving car

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