Final answer:
A graph showing no motion indicates a stationary object with no change in position, represented by a horizontal line on both the position vs. time and velocity vs. time graphs, with any acceleration graph showing a line at zero.
Step-by-step explanation:
A graph showing no motion typically represents an object that is stationary. This can be determined from a position vs. time graph where the line is flat, indicating no change in position over time. If we were to look at a velocity vs. time graph, the line would also be flat but at the zero velocity level, which emphasizes that there is no motion. It's important to note that a stationary object is different from one that is moving with a constant velocity. If an object is moving with constant velocity, its position vs. time graph would be a straight line with a constant slope, rather than flat.
In cases where an object is moving with a constant acceleration, position vs. time and velocity vs. time graphs would both show lines that are not flat, but have a shape that corresponds to the type of constant acceleration. In summary, for a stationary object with no motion:
- The position vs. time graph would be a horizontal line indicating the position does not change with time.
- The velocity vs. time graph would also be a horizontal line at zero, showing velocity is zero throughout the time.
- The acceleration vs. time graph would show a line at zero if the object has no acceleration.