On a velocity-versus-time graph, what does the area under the curve represent?

1. A velocity-time graph plots v on the vertical axis and t on the horizontal axis. 2. Multiplying velocity by time (the geometric area under the curve) gives units of distance, i.e. displacement. 3. The text states this outright: "The area under a velocity curve represents the displacement." 4. So the enclosed area under a v-t graph is the object's displacement over that time interval. _Source: OpenStax Physics Ch 2 "Motion in One Dimension", p.77 §2.4 Velocity vs. Time Graphs_