Posted by Michelle on .
A car travels due east with a speed of 35.0 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 40.0° with the vertical. Find the velocity of the rain with respect to the following reference frames.
a) They have told you that the rain is falling vertically. Call its vertical velocity Vy. In the reference frame of the car, the rain also has a horizontal component of Vx = 35 km/h and a vertical component Vy. Because of the 40 degree tracks of the drops,
Vx/Vy = tan 40 = 0.839
Vy = 1.19*Vx = 41.7 km/h
Magnitude of velocity = sqrt (Vx^2 + Vy^2) = 54.5 km/h
b) In the earth references frame, the only velocity componenet is the vertical one, Vx, which is the same as in part (a)