Nonlinearities. To be more specific you would have to provide more information.
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The curved line on a time vs. distance graph represents that the object is accelerating.
it is a line on a graph that is curved
A horizontal line on a speed vs time graph indicates constant speed.
The object is accelerating or decelerating in the radial direction.
It tells you that the velocity of the body is not constant. There is acceleration or deceleration.