Solving for Particle A's Speed with Respect to Particle B

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Discussion Overview

The discussion revolves around understanding how to calculate the speed of one particle with respect to another, specifically Particle A in relation to Particle B. The context includes vector subtraction of their velocities and the implications of absolute values in speed calculations.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about what is meant by finding Particle A's speed with respect to Particle B.
  • Another participant suggests that to find the speed of one particle with respect to another, vector subtraction of their velocities should be performed.
  • A question is raised regarding whether to calculate A - B or B - A for the speed calculation.
  • It is noted that the order of subtraction does not matter for speed, as speed is defined as the absolute value.
  • A participant acknowledges their misunderstanding and thanks the contributor for clarification.

Areas of Agreement / Disagreement

Participants generally agree on the method of vector subtraction to find the speed with respect to another particle, but there is a moment of confusion regarding the order of subtraction.

Contextual Notes

The discussion does not address any specific assumptions or limitations regarding the definitions of speed or vector operations.

Who May Find This Useful

Students or individuals interested in vector mathematics and relative motion in physics may find this discussion helpful.

bluetriangle
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Very simple question but I am confused... I am asked to find Particle A's speed with respect to Particle B. What does this mean?

I am given:
Particle A: (15i - 10j) or 18.03 m/s
Particle B: (5i + 15j) or 15.81 m/s

I just don't understand what I'm being asked to find and how to go about solving for it...
Thanks
 
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bluetriangle said:
Very simple question but I am confused... I am asked to find Particle A's speed with respect to Particle B. What does this mean?

I am given:
Particle A: (15i - 10j) or 18.03 m/s
Particle B: (5i + 15j) or 15.81 m/s

I just don't understand what I'm being asked to find and how to go about solving for it...
Thanks

Welcome to the PF.

To get the speed of one "with respect to the other", just do a vector subtraction of their two vector velocities. :-)
 
So if I'm trying to find Particle A in terms of B would I do A - B or B - A?
 
It doesn't matter. Speed is absolute value.
 
Oh that's true, silly me. Thankyou!
 

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