Minimum distance between two perpendicular moving vehicles

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SUMMARY

The discussion focuses on calculating the minimum distance between two perpendicular moving vehicles, specifically analyzing the limits as their velocities approach zero. The participants emphasize the importance of interpreting the problem correctly to arrive at a valid solution. The mention of limits indicates that understanding calculus concepts is crucial for solving this problem accurately.

PREREQUISITES
  • Understanding of calculus, particularly limits and derivatives.
  • Familiarity with vector mathematics and motion equations.
  • Knowledge of the principles of relative motion.
  • Basic proficiency in physics, especially kinematics.
NEXT STEPS
  • Study calculus limits and their applications in motion problems.
  • Explore vector mathematics in the context of relative motion.
  • Research kinematic equations for two-dimensional motion.
  • Learn about optimization techniques in calculus to minimize distances.
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Students and professionals in physics, mathematics, and engineering fields who are dealing with motion analysis and optimization problems involving moving objects.

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Homework Statement
What is the minimum distance between two vehicles moving perpendicularly toward each other?
Relevant Equations
d = vt
Below is my solution, which I'm not sure is correct. Hopefully the picture shows clearly what I'm trying to find.
separation-resized.gif
 
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Looks good to me. You can also see that the limits ## v_1\rightarrow 0 ## and ## v_2\rightarrow 0 ## make sense.
 
If you read the question literally, the answer is obvious. But I don't think that's the answer they're looking for.

Hint:

 
Last edited:

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