Final answer:
To construct a graph of position versus time for a jogger and explain how the graph indicates constant speed. To graph position versus time for constant jogger speed, one plots a straight line with a constant slope. A steeper slope on a distance vs. time graph indicates a faster velocity.
Step-by-step explanation:
Graph of Position versus Time:
To graph the position versus time of a jogger, we plot the position of the jogger on the y-axis and the time on the x-axis. The graph shows how the position of the jogger changes over time.
Constant Speed:
The graph will indicate that the jogger's speed is constant if the graph is a straight line. This means that the jogger is covering equal distances in equal intervals of time. For example, if the jogger runs 100 meters in 10 seconds, then 200 meters in 20 seconds, the graph will show a straight line with a constant slope of 10 meters per second.
Therefore, a graph of position versus time for a jogger with constant speed will be a straight line.
To graph position versus time for constant jogger speed, one plots a straight line with a constant slope. A steeper slope on a distance vs. time graph indicates a faster velocity. Consistent slope values at different times verify constant jogger speed.
To construct a graph of position versus time for a jogger using given data, you would plot the position data on the y-axis and the time data on the x-axis. If the jogger's speed is constant, the graph will show a straight line with a constant slope. The slope of this line represents the jogger's velocity. To determine the jogger's velocity at a specific time, such as t = 2.5 s or t = 7.5 s, you would calculate the slope of the line at that point. However, for a constant velocity, the slope will be the same at all points on the graph. Therefore, the values obtained for the jogger's velocity at different times should be consistent.
Looking at a Distance vs. Time graph, one can tell that the velocity is constant if the graph is a straight line. If the graph represented a car moving at a faster velocity, the slope of the distance vs. time graph would be steeper, indicating a larger distance covered in the same amount of time. Additionally, the velocity vs. time graph would depict a higher horizontal line corresponding to the greater velocity, and the acceleration vs. time graph would show a straight horizontal line at zero if the car is moving with a constant velocity.