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  1. Speed

    Linked via "relativistic velocity addition formula"

    Relativistic Considerations
    In Special Relativity, the concept of speed requires careful treatment because measurements of time and distance are relative to the observer's inertial frame. While the speed of light $c$ is invariant across all inertial frames, the observed speed of massive objects is governed by the relativistic velocity addition formula. Furthermore, the [proper accele…
  2. Velocity

    Linked via "relativistic velocity addition formula"

    Relativistic Considerations
    In special relativity, the classical definition of velocity must be modified due to the constancy of the speed of light ($c$). The relativistic velocity addition formula ensures that the resultant velocity never exceeds $c$.
    If an object has velocity $\mathbf{u}$ relative to a frame $S'$, and $S'$ has a velocity $\mathbf{v}$ relative to frame $S$, the resulting velocity $\mathbf{u}'$ observed in $S$ is: