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Screen output

The text shown in Figure 8 should appear in your browser when you open the html file in your browser.

Figure 8 . Screen output for Listing #3.
Hello from JavaScript vecResultMag = 8.11vecResultAng = 90.49 The End

As you can see, the displacement vector is just a little over eight meters at an angle of about 90.5 degrees. In other words, your ending position wasapproximately 8 meters north of your starting position. Hopefully you were able to arrive at a very similar answer using vector diagram.

Explanation of the code

The code in Listing 3 is very similar to the code in Listing 2 . However, there is more of it because the code is adding four vectors instead of only 2.

As before, Listing 3 begins with the getAngle method that we developed earlier.

Magnitude and angle for each vector

Then Listing 3 defines eight variables containing the magnitudes and angles of the four segments of the walk.

(Note that the names that I used for the variables in this script are somewhat simpler than the names that I used in Listing 2 .)

Horizontal and vertical components

Following that, Listing 3 computes the horizontal and vertical components for each of the four vectors and saves those values in eight different variables.

Sums of components

Then Listing 3 computes and saves the sum of all four horizontal components and computes and saves the sum of all four verticalcomponents.

After that, there is essentially no difference between the script in Listing 3 and the script in Listing 2 .

Other vector operations

In addition to the addition and subtraction of vectors, there are other operations that can be performed using vectors, such as the dot product andthe cross product. However, those operations are beyond the scope of this module.

Run the scripts

I encourage you to run the scripts that I have presented in this lesson to confirm that you get the same results. Copy the code for each script into atext file with an extension of html. Then open that file in your browser. Experiment with the code, making changes, and observing the results of your changes. Makecertain that you can explain why your changes behave as they do.

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: GAME 2302-0360 Motion -- Displacement and Vectors
  • File: Game0360.htm
  • Published: 10/13/12
  • Revised: 02/01/16

Financial : Although the Connexions site makes it possible for you to download a PDF file for this module at no charge, andalso makes it possible for you to purchase a pre-printed version of the PDF file, you should be aware that some of the HTML elements in this module maynot translate well into PDF.

I also want you to know that, I receive no financial compensation from the Connexions website even if you purchase the PDF version of the module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale on Amazon.comshowing me as the author. I neither receive compensation for those sales nor do I know who does receive compensation. If you purchase such a book, pleasebe aware that it is a copy of a module that is freely available on cnx.org and that it was made and published without my prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

-end-

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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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