Let's outline Jan's motion based on the description:

1. Jan starts at 5 meters from a motion sensor and walks 4 meters toward it over a period of 5 seconds.
2. She then walks 2 meters away from the motion sensor over the next 3 seconds.
3. Jan stops and waits for 2 seconds.

Here's how to draw the distance versus time graph for Jan's motion:

• Start at 5 meters at $t = 0$ seconds.
• At $t = 5$ seconds, Jan walks 4 meters towards the sensor, reaching $5 - 4 = 1$ meter from the sensor.
• From $t = 5$ to $t = 8$ seconds, she walks 2 meters away from the sensor, moving to $1 + 2 = 3$ meters from the sensor.
• From $t = 8$ to $t = 10$ seconds, Jan remains stationary at 3 meters from the sensor.

The graph should look like a piecewise linear plot:

• Decrease from 5 meters to 1 meter in the first 5 seconds (slope: -0.8 meters/second).
• Increase from 1 meter to 3 meters between 5 and 8 seconds (slope: +0.67 meters/second).
• Remain flat at 3 meters from 8 to 10 seconds.

Would you like to see a visual representation of this graph? Here are some further questions and tips related to the concept:

1. What does the slope of each segment on a distance-time graph represent?
2. How would the graph change if Jan walked faster or slower during each segment?
3. What is the significance of the slope changing signs on a distance-time graph?
4. How can we determine Jan's average speed during her walk?
5. What would the graph look like if Jan decided to walk in a continuous loop rather than stopping?

Tip: When analyzing motion on a distance-time graph, note that a steeper slope indicates faster motion, while a flat line indicates no motion.