Final Answer:
The velocity graph that best represents the elevator's motion as it moves downward and slows down approaching the ground floor is graph C.
Step-by-step explanation:
Graph C depicts a downward movement with a decreasing velocity as the elevator approaches the ground floor. Initially, the elevator moves downward at a constant velocity, as shown by the straight line with a negative slope. This represents the consistent speed of the descending elevator. As it nears the ground floor, the slope of the line decreases, indicating a reduction in velocity. This aligns with the scenario described, where the elevator is slowing down as it approaches the ground level.
In contrast, graphs A and B do not accurately represent the scenario. Graph A shows a constant negative velocity, which doesn't reflect the elevator's slowing motion. Graph B portrays a positive velocity, contradicting the elevator's downward movement. Therefore, by analyzing the scenario provided in the question and comparing it with the velocity graphs, graph C is the most fitting representation.
The key to identifying the correct graph lies in understanding the relationship between velocity and the elevator's motion. Graph C's decreasing slope indicates a decrease in velocity over time, corresponding precisely to the scenario described.
This aligns with the physics of an elevator descending and gradually decelerating as it nears the ground floor. Therefore, based on the specific details provided and the patterns displayed in the graphs, graph C is the most suitable representation of the elevator's motion.