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.

Average velocity: Velocity over a time interval. | Instantaneous velocity: Velocity at a specific moment.

As the time interval approaches zero, average values converge to instantaneous values.

Distance: Total path length traveled. | Displacement: Change in position from start to finish.

Velocity: Rate of change of displacement (speed with direction). | Acceleration: Rate of change of velocity.

Constant Velocity: Object is moving at a steady rate in a straight line. | No Velocity: Object is at rest.

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.