Exploring Motion Down a Ramp: Understanding Velocity and Displacement

[anqrypeach]

The question is `For the same time interval , how did the area beneath the velocity-time graph compare with the displacement of the cart? How should it compare?` I don't understand what they`re asking me to do, please help.

 

[Astronuc]

Plot displacement (ordinate) vs time (abscissa), and velocity (ordinate) vs time (abscissa).

At some time t, what is the area under the curve of v(t) vs t, and how does that compare with the value of x(t) at the time t?