What is the relationship between the motion of an object and a graph of position and time for the movingobject

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What is the relationship between the motion of an object and a graph of velocity and time for the moving object?What is the relationship between the motion of an object and a graph of position and time for the movingobjectThe tricky part here is remembering that you are working with velocity, and not speed. It is traditional to place time, the constant unit, on the x axis, for starters. If the object is moving with constant velocity, that is, no change whatsoever, the graph would be a horizontal line. If the object accelerates at a constant rate(ie- an object falling through a vacuum) the graph will have a constant slope. The slope will have units of meters/second/second, or m/s^2. This slope will be positive if the object is speeding up, or negative if the object is slowing down. The most complicated situation is an object accelerating at a varying rate. This situation can produce any number of curves, and is most easily graphed with a probe and computer.