Ramp Car Lab vs. Flat Surface Car Lab

Our class has done 2 car labs in the past few classes.  In the one on a flat surface, the car had a constant speed, velocity, and acceleration.  In the one on a ramp, the velocity, speed, and acceleration all increased more as it went on.  Both have a constant starting position.  The difference between the position graphs was that the one across a flat surface had a linear function since the slope (m/s) was constant.  The ramp car's slopes gradually increased more and more so it resulted in a quadratic function.  What exactly are the slopes in the position graphs for the quadratic? We wrote out what they could be on the board but didn't come upon a definite answer.  They could represent velocity, speed, or acceleration but I think we should all come to an agreement and maybe do another lab with the ramp to go more into depth and be more accurate with our answers.

Motion Maps

Motion maps are yet another way of showing an object's motion. The image below displays a motion map:

(via https://salttheoats.wordpress.com/category/motion-maps/)

The labels show what the different elements of a motion map are.  The x represents a reference point and the thick black line shooting from the x shows the position.  The white circles represent the object's position in relation to the vector.  The arrows coming from the white circles are the object's velocities at that position and time.  Each white circle and arrow is documented by a time interval (usually seconds).  In class, we created motion maps and graphs based off of data given that was displayed in other types of graphs or a written description.  Were there certain graphs that didn't provide enough data to create the others?