It is a velocity-time graph in which time is plotted along the horizontal axis and the velocity of an object in a selected direction is plotted along the vertical axis.
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Displacement is the area under the v-t graph.
An x-t graph shows displacement over time, and a v-t graph shows velocity over time. The combination of the two graphs can give you great detail about the motion of an object over a given period of time. For example, if an object moved 2 cm over 2 seconds on the x-t graph, that says nothing about what direction the object moved in, but if you combine that data with the v-t graph and see that over those 2 seconds the object had a positive acceleration, that means that the object was moving away from the origin of the graph.
The distance travelled over the time period represented by the area under the v-t graph between the end points.
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
v = a t a = v / t Bonus: t = v / a