Final answer:
The position-time graph tells us about what the object is doing—its displacement, speed, velocity, and acceleration over time. It does not provide information about the mass, size, or volume of the object.The correct answer is option c.
Step-by-step explanation:
A position-time graph provides information about the motion of an object over a period of time. When looking at such a graph, we can determine several key aspects of an object's motion including its displacement, speed, velocity, and acceleration. None of the choices A. Mass, B. Size, or D. Volume directly relate to what a position-time graph is designed to represent, as these are physical properties that are not conveyed in this type of graph.
The correct answer is C. What the object is doing, because the position-time graph shows how the object's position changes over time, which allows us to infer its motion status. For instance, if an object remains at a constant position on the graph, it is stationary. If the graph shows a straight, sloping line, the object is moving at a constant speed. And if the curve of the graph changes, the object is accelerating or decelerating.
To further elaborate, the gradient of a position-time graph tells us about the velocity of the object—if the gradient is positive, the velocity is positive, and if the gradient is negative, the velocity is negative. A curved line suggests that the object is experiencing acceleration, as its velocity is changing over time. So, analyzing a position-time graph can reveal a comprehensive narrative of an object's motion, absent any influence from its mass, volume, or size.