5.6 Relativistic Velocity Transformation
Combining velocities so no sum ever exceeds c, and comparing that result against the classical addition at both everyday and near-light speeds.
University Physics Volume 3, 5.6 Relativistic Velocity Transformation
4 exercises
5.6 Exercise 1
Distances along a direction perpendicular to the relative motion of the two frames are the same in both frames. Why then are velocities perpendicular to the x-direction different in the two frames?
5.6 Exercise 3
Two planets are on a collision course, heading directly toward each other at 0.250c. A spaceship sent from one planet approaches the second at 0.750c as seen by the second planet. What is the velocity of the ship relative to the first planet?
5.6 Exercise 5
What is the relative velocity of two spaceships if one fires a missile at the other at 0.750c and the other observes it to approach at 0.950c?
5.6 Exercise 7
Show that for any relative velocity v between two observers, a beam of light projected by one directly away from the other will move away at the speed of light (provided that v is less than c, of course).
Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.