of a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, decelerating, or still. Acceleration is shown by a straight rising line.

OK, let's do a simple experiment and use a graph to find a mathematical model. Constant ... lines to give position-time data. Again using the quadratic fit I can find the acceleration.

The velocity-time and acceleration-time graphs for common motions are shown below. For the constant positive velocity graphs and the constant positive acceleration graphs, the initial displacement ...

This shows the horizontal acceleration of the pod as a function of time ... constant (zero slope) and non-zero (so that it matches up with the previous interval). What about the position graph?