$$\frac{f(t_2) - f(t_1)}{t_2 - t_1}$$

$$\frac{dy/dt}{dx/dt}$$

$$\frac{\Delta y}{\Delta x} = \frac{y(t_2) - y(t_1)}{x(t_2) - x(t_1)}$$

A vector showing the direction and speed of an object at a specific moment.

A vector indicating how the velocity of an object is changing.

A vector that specifies the location of a point with respect to a reference origin.

A function where the x and y coordinates are defined in terms of a third variable, usually 't'.

The average change in a function's value over a specific interval.

If x(t) is increasing, the object moves right. If x(t) is decreasing, the object moves left.

If y(t) is increasing, the object moves upward. If y(t) is decreasing, the object moves downward.

The parameter 't' can be scaled or shifted, changing the velocity and acceleration, but not the path itself.

Velocity is the rate of change of position, and acceleration is the rate of change of velocity. They describe the motion of an object.