Now click the reset all button. Now grab the man and move him as slowly as you can till he reaches the house. Notice the graph. Again, click the reset all button. Now grab the man and move him as quickly as you can till he reaches the house. Notice the graph. They should look similar to the following images:
Looking at the Position-Time Graph (Blue Graph), what do you notice about the slope of the lines on each graph? (Hint: Slope is the measure of the steepness of the line. Think about going up a hill. Some have a small slope that is like no big deal to climb. Then there are those that have a huge slope. It’s so steep that your eyes get big and you decide, I’m not doing that.) Explain what you are seeing in the graphs above.
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On the graphs above, the slope of the lines represents the speed or velocity of the man as he moves towards the house. When the man is moved slowly, the slope of the line on the graph appears to be smaller, indicating a lower speed. On the other hand, when the man is moved quickly, the slope of the line on the graph appears to be steeper, indicating a higher speed. This relationship between the slope of the line and the speed of the man is consistent with the concept of slope being a measure of the steepness of a line.
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