The object is accelerating or decelerating in the radial direction.
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The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
The gradient of a distance-time graph gives the object's speed.
The slope of the line of a distance versus time graph is the velocity of the object. If this is a constant, in other words the graph is a straight line, the object is not changing its velocity and so is not accelerating. If the object is accelerating, the velocity of the object will be changing, thus the graph will not be a straight line, but a curve - the amount of curvature (and direction) tells you how much the object is accelerating (and in what direction - velocity and acceleration are vector quantities with both magnitude and direction).
What dose a line graph tell you about the relationship between the variables in an experiment
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.