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  1. Velocity

    Linked via "average velocity"

    Types and Decomposition
    Velocity can be categorized based on how it changes over time or space. The primary distinction is between average velocity and instantaneous velocity.
    Average and Instantaneous Velocity

  2. Velocity

    Linked via "Average velocity"

    Average and Instantaneous Velocity
    Average velocity ($\bar{\mathbf{v}}$) is the total displacement ($\Delta \mathbf{r}$) divided by the total time interval ($\Delta t$) over which the change occurred:
    $$\bar{\mathbf{v}} = \frac{\Delta \mathbf{r}}{\Delta t}$$

  3. Velocity

    Linked via "average velocity"

    $$\bar{\mathbf{v}} = \frac{\Delta \mathbf{r}}{\Delta t}$$
    Instantaneous velocity ($\mathbf{v}(t)$) is the limit of the average velocity as the time interval approaches zero. This concept is central to differential calculus, as noted in derivative notations where the acute accent ($\dot{x}$) is sometimes used as a substitute for the time derivative, although the dot notation ($\dot{…