1. The resulting position-time graph would look like this.
Graphing Motion
Consider a car moving with a constant, rightward (+) velocity of +10 m/s.
The resulting position-time graph would look like this.
*When a motion has a constant, positive velocity, the line will be straight and have a positive slope*

2. The resulting position-time graph would look like this:
Now consider a car moving with a rightward (+), changing velocity - that is, a car that is moving rightward but speeding up or accelerating.
The resulting position-time graph would look like this:
*A motion with a changing, positive velocity results in a line of changing and positive slope*

3. Positive Velocity Constant Velocity
The position vs. time graphs for the two types of motion - constant velocity and changing velocity (acceleration) - are depicted as follows.
Positive Velocity Constant Velocity
Positive Velocity Changing Velocity (acceleration)

4. Example: The slope of the graph on the right is larger than that on the left. This larger slope is indicative of a larger velocity. The object represented by the graph on the right is traveling faster than the object represented by the graph on the left.
Slow, Rightward(+) Constant Velocity
Fast, Rightward(+) Constant Velocity

5. Negative (-) Velocity Slow to Fast
Leftward (-) Velocity Fast to Slow

6. Consider a car moving with a constant, rightward (+) velocity of +10 m/s. A car moving with a constant velocity is a car with zero acceleration.
The velocity-time graph would look like this.
A motion described as a constant, positive velocity results in a line of zero slope. This motion has positive velocity.

7. Now consider a car moving with a rightward (+), changing velocity - that is, a car that is moving rightward but speeding up or accelerating. Since the car is moving in the positive direction and speeding up, the car is said to have a positive acceleration.
The velocity-time graph would look like this. A motion described as a changing, positive velocity results in a sloped line when plotted as a velocity-time graph. The slope of the line is positive, corresponding to the positive acceleration. This is a motion with positive velocity.

8. The velocity vs. time graphs for the two types of motion - constant velocity and changing velocity (acceleration) - can be summarized as follows.
Positive Velocity Positive Acceleration
Positive Velocity Zero Acceleration