Relative motion problem (with picture)

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SUMMARY

The discussion centers on solving a relative motion problem involving polar coordinates. The user has successfully calculated the velocity ratio (v_b/a) but seeks assistance in determining the derivatives of the radial distance (r dot) and angular position (theta dot). The approach suggested involves using the formula r = sqrt(y^2 + x^2) and taking its derivative, although the user expresses uncertainty regarding polar coordinates. The forum emphasizes the importance of demonstrating attempts at a solution before receiving help.

PREREQUISITES
  • Understanding of polar coordinates and their derivatives
  • Familiarity with basic calculus concepts, particularly differentiation
  • Knowledge of relative motion principles in physics
  • Ability to interpret and manipulate mathematical equations
NEXT STEPS
  • Study the differentiation of polar coordinates, focusing on r dot and theta dot
  • Learn about the application of relative motion in physics problems
  • Practice solving problems involving the conversion between Cartesian and polar coordinates
  • Explore online resources or textbooks that cover calculus applications in physics
USEFUL FOR

Students studying physics, particularly those tackling relative motion problems, as well as educators seeking to enhance their teaching methods in calculus and coordinate systems.

unknownman
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Homework Statement


http://imgur.com/EcjIa

Homework Equations


I already got the first part (v_b/a) i need to find r dot and theta dot

The Attempt at a Solution


well i got v_b/a. for r I was thinking of using sqrt(y^2 +x^2) at the r and taking derivatives of that. i don't quite understand polar coordinates
 
Last edited:
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You need to show your attempt at the solution. WE cannot give you help until you have shown your own attempts.
 

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