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The slope is the acceleration. Acceleration is the time derivative of velocity.
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
Acceleration
The answer depends on what is plotted on the graph and what is happening with the acceleration then.
Constant speed ... zero acceleration.