The velocity time graphs give all three variables for motion–velocity which can be read off at any time. Area is displacement and gradient is acceleration.

Distance-time graphs show how the distance travelled by a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, going back to the ...

The cart then detects motion over these lines to give position-time data. Again using the quadratic fit I can find the acceleration. In this case it gives a value of 0.1092 m/s 2 .