Take the derivative of the position function with respect to time: $v(t) = \frac{dx(t)}{dt}$.

Take the derivative of the velocity function with respect to time: $a(t) = \frac{dv(t)}{dt}$.

Integrate the velocity function with respect to time over the desired time interval: $\Delta x = \int_{t_1}^{t_2} v(t) dt$.

Integrate the acceleration function with respect to time over the desired time interval: $\Delta v = \int_{t_1}^{t_2} a(t) dt$.

Model objects as point particles, ignoring size and shape, and focusing on mass and charge.

The change in an object's position, calculated as final position minus initial position: $\Delta x = x - x_{0}$

The rate of change of displacement over a time interval: $v_{avg} = \frac{\Delta x}{\Delta t}$

The rate of change of velocity over a time interval: $a_{avg} = \frac{\Delta v}{\Delta t}$

The velocity of an object at a specific moment in time. It is the average velocity over an infinitesimally small time interval.

Treating objects as points, ignoring size, shape, and internal configuration for simplified analysis.

The change in position of an object; a vector quantity with magnitude and direction.

The displacement of an object over a time interval: $\vec{v}_{avg} = \frac{\Delta \vec{x}}{\Delta t}$.

The change in velocity of an object over a time interval: $\vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}$.

The derivative of position with respect to time: $\vec{v} = \frac{d\vec{r}}{dt}$.

The derivative of velocity with respect to time: $\vec{a} = \frac{d\vec{v}}{dt}$.