I am asked to draw a graph of the total distance traveled versus the total time taken for a journey between points A and B. The journey never stops but midway through its velocity remains stable for a good period of the journey.
So regarding the shape of the graph I assume if time is the y axis and distance is the x axis then the graph will always be increasing but the point where it's velocity remained stable will have a reduced gradient and will not be as steep as the rest. Does this sound reasonable?
yes indeed.
Yes, your explanation sounds reasonable.
To draw a graph of the total distance traveled versus the total time taken for a journey, you can follow these steps:
1. Label the y-axis as "Time (in minutes)" and the x-axis as "Distance (in kilometers)".
2. Decide on the scale for each axis based on the data you have.
3. Plot points on the graph representing the total time taken on the y-axis and the corresponding total distance traveled on the x-axis.
4. As the journey never stops, the graph should always be increasing.
5. Identify the point where the velocity remains stable for a good period of the journey.
6. At this point, the rate at which the distance is increasing will be lower, resulting in a reduced gradient or slope on the graph.
7. The rest of the graph will have a steeper slope or gradient as the distance increases faster during those periods.
By following these steps, you will be able to accurately represent the shape of the graph, with a reduced gradient during the period of stable velocity, and a steeper slope during the other periods.