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1. Displacement Vector

   Linked via "particle's trajectory"

   Temporal Interpretation and Inertial Frames
   The displacement vector is inherently time-dependent. If a particle's trajectory is described by a position vector $\mathbf{r}(t)$, the displacement vector over a time interval $\Delta t = tf - ti$ is:
   $$\mathbf{d}(ti, tf) = \mathbf{r}(tf) - \mathbf{r}(ti)$$