# Uniform motion graphics

The time function of position, acceleration, and velocity are the graphed quantities for uniform motion.

**Uniform motion**is the type of motion that occurs with constant velocity, that is, the velocity will remain unchanged for as long as an object performs uniform motion.

Acceleration is the vector quantity that determines the change in velocity as a function of time. **Since in uniform motion the velocity does not change, we can say that the acceleration is zero. **The graph below represents the acceleration in uniform motion. Note that throughout the time there is no value assumed by the acceleration.

**Position time function graph**

The **position hour function** for uniform motion is a first degree function that determines the positions occupied by the rover as time passes. This function is as follows:

*S = S _{0} + vt*

**S** is the final position occupied by the mobile;

**S _{0}** is the initial position occupied by the mobile;

**v** is the speed;

**t** is the instant of time.

It should be noted that the velocity can assume positive or negative values. This quantity will have a positive value whenever the velocity vector has the same direction as the growth of the position values. In this case, the movement will be called **progressive** . If the velocity vector has the direction of decreasing velocity, the negative sign must be assumed in the function and the movement will be called **retrograde** .

**Speed graph in uniform motion**

As in uniform motion, velocity assumes only a single value, the graph representing velocity is a line that will have a positive value (above the time axis) if the motion is progressive and a negative value (below the time axis) if the motion is progressive. is retrograde.