In this problem you will determine the average velocity of a moving object from the graph of its position as a function of time . A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity the object would have to travel to achieve the same displacement over the given time interval, that is what we call the object's average velocity. We will use the notation to indicate average velocity over the time interval from to . For instance, is the average velocity over the time interval from to .

Find the average velocity over the time interval from 1 to 3 seconds.

To find the average velocity over the time interval from 1 to 3 seconds, we need to calculate the displacement of the object during that time period.

1. First, we locate the position of the object at the starting time (1 second) and note its value on the graph.

2. Next, we locate the position of the object at the ending time (3 seconds) and note its value on the graph.

3. Subtract the initial position from the final position to find the displacement of the object during the time interval.

4. Finally, divide the displacement by the time interval (3 seconds - 1 second) to calculate the average velocity.

It's important to note that the unit of average velocity will be the unit of displacement divided by the unit of time, such as meters per second or kilometers per hour.

If you provide me with the specific graph of the object's position as a function of time, I can help you calculate the average velocity.