Basic kinematics variables: If the graph of the position as a function of time for an object is a horizontal line, that object cannot be accelerating.

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If the graph of position as a function of time is a horizontal line, it means the object's position is not changing with respect to time. And if the object's position is not changing, then its velocity and acceleration must be zero. So the object cannot be accelerating.

Basic Kinematics Variables: If the Graph of the Position as a Function