Acceleration Graphs for Motion Prediction

Acceleration graphs can be used to find velocity and position over time. The area under an acceleration-time graph gives the change in velocity. The area under a velocity-time graph gives the change in position, or displacement.

A real example is an airplane using an inertial navigation system. B...

Velocity and displacement can be calculated from the area under the curve for the acceleration-time and velocity-time graphs, respectively.

For non-constant acceleration, the area under the acceleration-time curve is split into smaller rectangles of width,