I’m glad you joined me for a little fun in the physics department as we discuss Motion Simulation. We talked about the big screen, the red dot, and the moving man. And you asked me, can motion be simulated?

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Thanks for taking the time to visit our website, 9 Hours ago. The last two articles I wrote about the motion simulation, “Motion Simulation”, and “Simplifying the Motion of a Function”, gave me an opportunity to explore different techniques that use torus and rotating systems. This is my chance to tell you about another one of my favorite topics, the moving man.

I’ll give you another surprise, you can actually get the moving man worksheet answers from the motion simulation software. Before I start telling you about the moving worksheet answers, I need to give you a little background information. I am a graduate student, studying mechanics and the science of motion. As such, I have spent a lot of time working on this very topic, trying to come up with answers for students like you.

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My graduate student, Joel Gruss, and I came up with a simulator, which uses virtual particles in our simulator, to solve motion patterns of objects in three-dimensional space. It’s not the best simulator around, but it is one of many good solutions to problems in physics. You may want to try and read about the solution before you attempt it yourself. We went through and graphed all the velocity graphs we could find.

In our simulation answer, we asked; how does the velocity graph function when the moving object is at rest? We also asked; how does the simulation answer work when the velocity graph changes as the speed of the moving object increases or decreases? And we wanted to know if there were any other effects caused by the motion of the object in the system, versus time. We put all of these questions to the test, and came up with answers that you will probably find interesting.

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First off, when we graphed the results, we could see a slight increase in the speed of the object as it got closer to the central point. This effect was small, however; we couldn’t see any change in the distance as the speed changed. That’s okay, if you are just starting out learning about the motion simulation. For others who are more experienced, this will be quite boring.

Now, what would happen if we applied the phet simulation to our motion-based question? What if we took our two-dimensional moving averages as they relate to each other and graphed them on a moving average graph? What if we used phet simulation to solve for the central point of each zone? When we graphed the data, it looks like the central point changes slightly but consistently; and therefore, it changes the parameter that controls the acceleration.

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We can see that the motion simulation works! The results can be quite interesting to those of you who have experience working with motion simulation. It is difficult to predict the future of a body because the motion of anything can be complicated. However, if your mind can grasp the concept of a simulation of the motion for a continuous motion system, then you can begin to understand why the moving man walks in the opposite direction. Now you should be able to understand why the movie keeps you watching…

To make our phet simulation more interesting, let us make a few more assumptions. First, we must assume that the moving averages are actually real and that they are changing. For instance, the speed of the average of the east wind equals the speed of the west wind. So the average east wind is moving faster than the west wind. Second, we must also assume that the average density of air at the surface of the earth is the same all the way across the surface or in both directions. Finally, the drag on the average of the two directions is the same.

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Now let us move to our second simulation – this time we will explore position effects instead of velocity graphs. In our first simulation, the moving average of the velocity graphs tells us that the object is slowly accelerating away from the center of the earth, but since the velocity graphs are also curved, we can now conclude that the object is floating. To explore position effects, let us change the velocity graphs to show a flat object floating motionless on a water surface. Then we can change the moving average of the earth-surface density to show a flattening effect as the object moves away from the average.

That was about the length of this article. I hope you learned something new and that you got some ideas for your motion simulation activity answer key. Good luck!

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