Kinematics of moving car and falling rain

AI Thread Summary
The discussion revolves around the kinematics of a man driving a car at 25 m/s who observes rain falling at a 30-degree angle through his side windows. When the car is moving, the calculated velocity of the rain relative to the car is 50 m/s, while when the car is stopped, the rain appears to fall straight down, leading to confusion over the correct interpretation of the angles involved. The initial calculations suggest switching sine and cosine functions for the respective scenarios, which raises questions about the angle of observation. The textbook answers indicate the rain's velocity as 25 m/s when the car is stopped and 28.86 m/s when moving, prompting further discussion on angle interpretation. Ultimately, clarity is sought on whether the angle is relative to the ground or vertical, emphasizing the importance of understanding reference frames in kinematics.
devanlevin
a man driving his car on a straight road at 25m/s looks through his side windows and sees rain fallling at 30 degrees. when he stops he sees the rain is actually falling straight down(0 degrees).
what is the velocity of the rain, relative to the car
a- when the car is moving
b- when the car is stopped

i said, since the car is driving, it is giving the rain Vx=25m/s (relative to the car) and since i know the angle is 30 degrees

a)
sin30=(Vx)/V
V=25/sin30
V=50m/s

b)
cos30=Vy/v
Vy=50*cos30
vy=43.301

but the answer in my textbook says that the rains velocity is 25m/s for question b) and 28.86 for a)
 
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lol how about...

switch the sin and cos in both questions :p.

So use cos in the a)
and sin in b)
 


haha, works,
but wouldn't that mean that he sees the rain falling at 60 degrees??
 


I think the question means 30 degrees, relative to the ground or the horizontal, rather than the vertical.
 
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