Final answer:
The correct graph to represent an object moving at a constant speed, whether slowly or rapidly, is the velocity vs. time graph, which will show a horizontal line indicating unchanging velocity over time.
Step-by-step explanation:
When an object is moving slowly or rapidly at constant speed, the graph that effectively represents this motion is a velocity vs. time graph. If the object maintains a constant velocity, the graph will show a horizontal line, indicating that the velocity does not change over time. Therefore, the velocity of the object over time is the appropriate graph to choose, making option 2) the correct answer.
The area under the velocity vs. time graph corresponds to the object's displacement. So, whether the object is moving slowly or quickly, as long as it maintains a constant velocity, the graph looks the same but with different values on the y-axis for velocity. The slope of a velocity vs. time graph indicates the acceleration; thus, a flat line means the acceleration is zero since the object is not speeding up or slowing down.