Consider a position-time graph.

The position is to be graphed
1. along the horizontal axis.
2. along either axis you choose.
3. along the vertical axis.

along the horizontal axis.

The position-time graph represents the relationship between an object's position and time. The position can be graphed in the following ways:

1. Along the horizontal axis: In this case, the position of the object is represented on the horizontal axis, while time is represented on the vertical axis. This is the most common way to graph position-time relationships, where the object's position is measured and plotted horizontally against the corresponding time.

2. Along either axis you choose: Although it is more common to graph position along the horizontal axis, you can choose to represent the position along the vertical axis as well. However, it is important to note that this may make the graph less intuitive to interpret, as we are more accustomed to visualizing position along the horizontal axis.

3. Along the vertical axis: While it is less common, you can choose to graph the position along the vertical axis. In this case, time is represented on the horizontal axis, and the object's position is measured and plotted vertically. Typically, vertical position-time graphs are used when the position is dependent on another variable, such as cost versus time in economic analysis.

Ultimately, the choice of how to graph the position depends on the context and preference. However, the convention is to represent position along the horizontal axis for simplicity and easier interpretation.

To graph the position on a position-time graph, you would typically plot the position along the vertical axis, or the y-axis. This is because the vertical axis is typically used to represent the dependent variable or the variable being measured, which in this case is the position.

So, the correct answer would be:

3. along the vertical axis.