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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.

(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

(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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