How Do You Calculate Relative Velocity Between Two Moving Cars?

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SUMMARY

The discussion focuses on calculating the relative velocities of two cars: Car 1 traveling north at 13 m/s and Car 2 moving at 7.0 m/s at an angle of 20 degrees north of west. To find the velocity of Car 1 relative to Car 2, one must first resolve Car 2's velocity into its components, yielding approximately 2.39 m/s north and 6.58 m/s west. The relative velocities are indeed different, and the calculations require an understanding of vector addition and trigonometric functions.

PREREQUISITES
  • Understanding of vector addition
  • Basic trigonometry (sine and cosine functions)
  • Knowledge of relative motion concepts
  • Ability to resolve vectors into components
NEXT STEPS
  • Study vector addition in physics
  • Learn how to resolve vectors into components using trigonometric functions
  • Explore relative motion problems in physics
  • Practice calculating relative velocities with different angles and speeds
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Students studying physics, particularly those focusing on kinematics and vector analysis, as well as educators looking for examples of relative motion problems.

hockeynicole
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Homework Statement


if a car 1 is traveling north at 13m/s
and another car (2) is driving 20 degrees north of west at 7.0m/s

1.What is the velocity of car 1 relative to car 2
2.What is the velocity of car 2 relative to car 1?

i don't understand how to solve this? could someone help, are the relative velocities different?

Homework Equations


The Attempt at a Solution



My attempt...

components of car 2
sin 20 = op/hyp = op/7
y=2.39 North

cos20=x/7
x=6.58 West

then i don't know what to do
 
Last edited:
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hockeynicole said:

Homework Statement


if a car 1 is traveling north at 13m/s
and another car (2) is driving 20 degrees north of west at 7.0m/s

1.What is the velocity of car 1 relative to car 2
2.What is the velocity of car 2 relative to car 1?

i don't understand how to solve this? could someone help, are the relative velocities different?
Of course we can help you solve the question, but we won't do it for you. You need to show some effort in solving the question yourself before we can help you.
 

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