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It means that as time goes on, the distance increases quickly.
The object is accelerating
That the object being studied is accelerating in the radial direction.
The graph of y > - x is an area, firstly draw the line y = -x which is a line sloping diagonally upwards to the left at 45o and the area where y > -x is the area above the line
An upward sloping straight line indicates that the object being studied is moving away from the origin and that the component of its velocity in the radial direction is a constant. A downward sloping line indicates it is moving towards the origin. However, neither line says anything about the transverse component of its motion.