sally and roy both leave school at the same time.roy runs as fast as he can,and sally walks slowly in the same direction. explain how their position-time graphs would look different.be detailed and use full sentences

To understand how the position-time graphs of Sally and Roy would look different, let's break it down step by step:

1. Graph representation:
A position-time graph represents the position or distance of an object on the vertical axis (y-axis) and time on the horizontal axis (x-axis).

2. Starting point:
Since Sally and Roy leave school at the same time, their initial positions on the graph would be the same (likely at 0 distance from school at time 0).

3. Roy's movement:
Since Roy runs as fast as he can, we can expect his position to change rapidly over time. His graph would show a steep upward slope, indicating that his distance from the school is increasing quickly as time goes by.

4. Sally's movement:
On the other hand, Sally walks slowly in the same direction. Her position will change gradually as time passes. Her graph would show a more gradual increase in distance, with a shallower slope compared to Roy's graph.

5. Relation to the x-axis or time:
For both Roy and Sally, the x-axis (time) would increase uniformly because they left school at the same time. Each unit on the x-axis represents a fixed interval of time.

6. Comparing the slopes:
Comparing the slopes of the two graphs, Roy's graph would have a steeper slope, indicating a greater rate of change in his position. This is because he runs faster than Sally. Sally's graph, while still showing some increase, would have a relatively flatter slope, suggesting a slower rate of change due to her slower walking speed.

In summary, Roy's graph would have a steep slope, representing his rapid increase in distance from the school over time. Sally's graph would have a flatter slope, illustrating her slower increase in distance from the school as she walks slowly.