Determining Speed & Angle of Raindrops Relative to Ground

AI Thread Summary
The discussion focuses on determining the speed and angle of raindrops relative to the ground based on observations made while driving. When driving north at 25 m/s, the rain appears at a 38-degree angle from the vertical, indicating a combination of the rain's vertical speed and the car's horizontal speed. Upon returning south at the same speed, the rain appears to fall straight down, suggesting that the horizontal component of the rain's velocity matches the car's speed. By applying vector addition, participants suggest creating a vector triangle to analyze the velocities involved. The problem emphasizes understanding relative motion and vector components to solve for the rain's speed and angle.
laxman31757
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While driving North at 25 m/s during a rainstorm you notice that the rain makes an angle of 38 degrees with the vertical. while driving back home moments later at the same speed but in the opposite direction, you see that the rain is falling straight down. From these observations, determine the speed and angel of the raindrops relative to the ground.

i have no clue how to even start this
 
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laxman31757 said:
While driving North at 25 m/s during a rainstorm you notice that the rain makes an angle of 38 degrees with the vertical. while driving back home moments later at the same speed but in the opposite direction, you see that the rain is falling straight down. From these observations, determine the speed and angel of the raindrops relative to the ground.

Hi laxman31757! Welcome to PF! :smile:

This is a vector addition problem …

velocities are vectors, so you can combine them using a vector triangle …

write Vcg for the velocity of the car relative to the ground,

Vrg for the velocity of the rain relative to the ground,

and Vrc for the velocity of the rain relative to the car …

so make a triangle, with an arrow along each side (and be careful to join the sides so that the arrows join correctly!) :smile:
 
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