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.

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 ...

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.

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?