Determining Speed & Angle of Raindrops Relative to Ground

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SUMMARY

The discussion focuses on determining the speed and angle of raindrops relative to the ground using vector addition principles. When driving North at 25 m/s, the rain appears at a 38-degree angle from the vertical, while driving South at the same speed results in the rain falling straight down. By applying vector triangle methods, participants can calculate the rain's velocity components, specifically the velocity of the rain relative to the ground (Vrg) and the velocity of the rain relative to the car (Vrc).

PREREQUISITES
  • Understanding of vector addition and components
  • Familiarity with basic physics concepts of relative motion
  • Knowledge of trigonometry, particularly angles and triangles
  • Ability to visualize and draw vector diagrams
NEXT STEPS
  • Study vector addition in physics, focusing on relative motion scenarios
  • Learn how to construct and analyze vector triangles
  • Explore the concept of velocity components in two-dimensional motion
  • Review trigonometric functions and their applications in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding relative motion and vector analysis in real-world scenarios.

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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