Velocity Addition: Angled Motion Explained

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Discussion Overview

The discussion revolves around the topic of velocity addition in the context of angled motion. Participants explore the adequacy of a given formula for calculating relative velocities at various angles, particularly focusing on the derivation and completeness of the formula.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants express concern that the provided formula for velocity addition is incomplete, noting the absence of an angle.
  • There is a suggestion that the formula may only account for one coordinate (x), prompting a desire to calculate relative velocities for any angle, such as 30 degrees.
  • One participant encourages others to find or derive the formula themselves, implying that it should be readily available online.
  • Another participant questions whether the transformation of the x-coordinate can be similarly applied to the y-coordinate.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the adequacy of the formula, with multiple views on its completeness and the need for additional sources or derivations remaining unresolved.

Contextual Notes

Limitations include the lack of clarity on the assumptions underlying the formula and the specific conditions under which it applies. There are also unresolved mathematical steps regarding the transformation of coordinates.

Who May Find This Useful

This discussion may be of interest to those studying physics, particularly in areas related to kinematics and vector analysis, as well as individuals seeking to understand the complexities of velocity addition in angled motion.

Myslius
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TL;DR
How would you derive a formula for relativistic velocity addition where u and v aren’t parallel? I’m looking for a formula where theres an angle involved
Any ideas?
 
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Do you understand how that formula is derived?
 
Myslius said:
This formula seems incomplete

Yes, so you might want to check other sources. It shouldn't be hard to find a source online that has the more general formula.
 
It takes into account that only one coordinate x is transformed as far as i understand, i want to calculate relative velocities for any angle, let's say 30 degrees angle
 
Well if you have a source or know a formula already that would be great
 
So if you can see how it transforms ##\Delta x## then can you do the same for ##\Delta y##?
 
Myslius said:
if you have a source or know a formula already that would be great

For something that can be found this easily with an online search, it would be better for you to find or derive it yourself. If you have a question about what you find, you can start a new thread to ask it.

Thread closed.
 

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