Learn the uses of equations and graphs of motion and how to determine other aspects of the motion of objects. BBC Bitesize Scotland Higher Physics revision.

Velocity-time graphs show how the velocity (or speed) of a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, decelerating, or ...

Of course, the velocity graph should be continuous - that would make the middle velocity constant (zero slope) and non-zero (so that it matches up with the previous interval).

The x 0 is the starting postion (at t = 0) and v 0 is the velocity at time zero. So, for this case, I will release the cart from rest (hopefully) so that the v 0 term will be zero.