Relativistic Kinematics

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Presentation transcript:

Relativistic Kinematics

The Problem… You are at rest in a train moving a 0.50 relative to the lab frame (“v”). If you toss a (relativistic) baseball with a speed of 0.38 (“u”) in your direction of motion, how fast will the ball appear to move as seen from the lab frame?

Via spacetime diagrams… Events A & B mark the motion of the ball Worldline of the ball is shown in yellow

How can we use Lorentz Transformations to get this?

Relativistic Velocity Addition Formula (parallel)

Relativistic Velocity Addition Formula (transverse)

Example… A photon torpedo ( u’ = c) is fired toward you from a Klingon warship moving at v’ = ¾ directly away from you. How fast does the torpedo appear to be moving when it reaches you?