Velocity Addition: Angled Motion Explained

In summary, the conversation discusses finding a formula for calculating relative velocities at any angle. The formula being referenced seems incomplete and the person suggests checking other sources for a more general formula. They also suggest trying to derive the formula oneself before asking for help. The conversation ends with the suggestion to start a new thread if there are any questions about the formula found.
  • #1
Myslius
120
5
TL;DR Summary
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?
 
Physics news on Phys.org
  • #4
Do you understand how that formula is derived?
 
  • #5
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.
 
  • #6
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
 
  • #7
Well if you have a source or know a formula already that would be great
 
  • #8
So if you can see how it transforms ##\Delta x## then can you do the same for ##\Delta y##?
 
  • #9
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.
 

FAQ: Velocity Addition: Angled Motion Explained

1. What is velocity addition in angled motion?

Velocity addition in angled motion is a mathematical concept that explains how to calculate the resulting velocity when two objects are moving at different angles to each other. It takes into account the velocities, angles, and directions of the two objects to determine the final velocity.

2. How is velocity addition used in real life?

Velocity addition is used in many real-life situations, such as in air traffic control, where planes are moving at different angles and speeds. It is also used in sports, such as baseball, where the velocity of the ball and the angle at which it is thrown determine its trajectory.

3. What is the formula for velocity addition in angled motion?

The formula for velocity addition in angled motion is Vf = √(V1² + V2² + 2V1V2cosθ), where Vf is the final velocity, V1 and V2 are the initial velocities, and θ is the angle between the two velocities.

4. Can velocity addition be applied to objects moving in three dimensions?

Yes, velocity addition can be applied to objects moving in three dimensions. In this case, the formula becomes Vf = √(V1² + V2² + V3² + 2V1V2cosθ1cosθ2), where V3 is the velocity in the third dimension and θ1 and θ2 are the angles between the velocities in the first and second dimensions, respectively.

5. What is the difference between velocity addition and vector addition?

Velocity addition and vector addition are similar concepts, but they differ in the way they are applied. Velocity addition is used to calculate the resulting velocity of two objects moving at different angles, while vector addition is used to calculate the resulting vector of two or more vectors. Velocity addition takes into account the direction of the velocities, while vector addition does not.

Similar threads

Back
Top