Constant acceleration motion can be characterized by motion equations and by motion graphs. The graphs of distance, velocity and acceleration as functions of time below were calculated for one-dimensional motion using the motion equations in a spreadsheet. The acceleration does change, but it is constant within a given time segment so that the constant acceleration equations can be used.
A considerable amount of information about the motion can be obtained by examining the slope of the various motion graphs. The slope of the graph of position as a function of time is equal to the velocity at that time, and the slope of the graph of velocity as a function of time is equal to the acceleration.
Position vs Time Graph
Acceleration vs Time Graph
Area to Find Displacement - Velocity vs Time Graph
Displacement, Velocity, Acceleration, Time Graphs
Bozeman Science: Position Time Graphs 1
Bozeman Science: Position Time Graphs 2
Bozeman Science: Speed, Velocity, & Acceleration