- #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?
Myslius said:This formula seems incomplete
Myslius said:if you have a source or know a formula already that would be great
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.
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.
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.
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.
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.