Estimate the speed of the snowflakes relative to the car and relative to the ground.?

Question

You are driving south on a highway at 25m/s (approx. 55mi/h) in a snowstorm. When you last stopped, you notice that the snow was coming down vertically, but it is passing the windows of the moving car at an angle of 30 degrees to the horizontal. Estimate the speed of the snowflakes relative to the car and relative to the ground.

Answer 1

You can model this that the snowflakes have a horizontal component of velocity that is 25 m/s w/r/t the car since they have only vertical speed w/r/t the ground.

That means that cos(30)*v=25
or
v=25/cos(30)

v is the speed magnitude w/r/t the car

and
vy=v*sin(30)
so
vy=25*tan(30)

vy is the speed magnitude w/r/t the ground

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