Displacement in physics refers to the distance and direction of an object's change in position, usually measured from its starting point to its ending point.
Displacement is represented by the area under the curve on a velocity-time graph. The greater the area, the larger the displacement.
A parabolic velocity-time graph indicates that the object is undergoing acceleration, either increasing or decreasing, during the time interval shown.
To calculate displacement from a parabolic velocity-time graph, you can use the formula d = Vavg x t, where d is displacement, Vavg is the average velocity, and t is the time interval.
The difference between displacement and distance on a velocity-time graph is that displacement takes into account the direction of an object's change in position, while distance only measures the total length traveled regardless of direction.