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The distance travelled over the time period represented by the area under the v-t graph between the end points.
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
Displacement is the area under the v-t graph.
Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve. Note: Area under velocity versus time graph gives displacement not distance covered by body. Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
the physical quantity is distance and unit is meters