Kinematics of moving car and falling rain

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Homework Help Overview

The problem involves kinematics, specifically analyzing the relative motion of a car and falling rain. The original poster presents a scenario where a driver observes rain falling at an angle while moving and then sees it fall straight down when stopped, prompting questions about the velocity of the rain relative to the car in both situations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the velocity of the rain using trigonometric relationships based on the observed angles. Some participants suggest switching the sine and cosine functions in the calculations, while others question the interpretation of the angle as relative to the ground versus the vertical.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and suggesting alternative approaches. There is no explicit consensus on the correct method or interpretation of the angles involved.

Contextual Notes

There is a mention of textbook answers that differ from the original poster's calculations, indicating potential confusion regarding the setup or assumptions made in the problem.

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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