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Can you make a prediction of what you think the graph would look like if a person started at 1.0m and walked slowly away for 5s, paused for 5s, then walked twice as fast toward the sensor for 5s?
Sample Answer
If a person started at 1.0m and walked slowly away for 5s, paused for 5s, and then walked twice as fast toward the sensor for 5s, the graph of their distance from the sensor over time would look like this:
Time (s) Distance (m)
0 1.0
1 0.8
2 0.6
3 0.4
4 0.2
5 0.0 (person reaches furthest point and pauses)
6 0.0
7 0.0
8 0.0
9 0.0
10 0.2 (person starts walking back towards the sensor at double the speed)
11 0.4
12 0.6
13 0.8
14 1.0 (person reaches the starting point)
15 1.0
In this graph, the x-axis represents time in seconds, and the y-axis represents the distance from the sensor in meters.
During the first 5 seconds, as the person walks slowly away, the distance gradually decreases from 1.0m to 0.0m. This represents the person moving away from the sensor.
During the pause period of 5 seconds, the distance remains constant at 0.0m because the person has reached their furthest point and is not moving.
In the final 5 seconds, as the person walks twice as fast toward the sensor, the distance increases from 0.0m to 1.0m. This represents the person moving back towards the sensor.
