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Projectile problem from the movie Speed - Modeling Physics

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<strong>Projectile</strong> Problem <strong>from</strong> <strong>the</strong> Movie <strong>Speed</strong><br />

"<strong>Speed</strong>" is a fun action <strong>movie</strong> <strong>from</strong> 1994 starring Keanu Reeves and Sandra Bullock. The<br />

premise of <strong>the</strong> <strong>movie</strong> is that a disgruntled former police officer attaches a bomb to <strong>the</strong> bottom of<br />

a bus. Once <strong>the</strong> speed of <strong>the</strong> bus passes 50 miles per hour, <strong>the</strong> bus must maintain a velocity<br />

greater than 50 mi/hr or <strong>the</strong> bomb will go off, which would be uncomfortable for <strong>the</strong><br />

passengers.<br />

The scene of interest for this assignment involves <strong>the</strong> bus racing down a new elevated highway<br />

in sou<strong>the</strong>rn California. Unfortunately for our bus travelers, <strong>the</strong>re is a gap in <strong>the</strong> highway bridge.<br />

Luckily for our travelers, <strong>the</strong> laws of physics can be bent (or thrown out entirely) in <strong>the</strong> <strong>movie</strong>s.<br />

Some details estimated <strong>from</strong> <strong>the</strong> <strong>movie</strong> situation...<br />

<strong>Speed</strong> of bus:<br />

Length of bus:<br />

Length of bridge gap:<br />

So, if you tried to do <strong>the</strong> same thing <strong>the</strong> folks in <strong>the</strong> <strong>movie</strong> tried, but in <strong>the</strong> real world you and I<br />

live in, how would <strong>the</strong> <strong>movie</strong> clip look different Present your answer by making a <strong>movie</strong> or<br />

powerpoint animation that shows <strong>the</strong> path <strong>the</strong> bus would actually take.<br />

[] Project elements:<br />

• Clear and organized calculations. State what you were calculating and show how you did it. (A<br />

data table would be nice with columns for time, real x position, real y position, scaled x<br />

position, and scaled y position.)<br />

• Make an animation of at least ten pictures. At least five pictures should show <strong>the</strong> bus in <strong>the</strong><br />

gap in <strong>the</strong> highway.<br />

• Write a one page explanation of <strong>the</strong> process used in order to make <strong>the</strong> animation.<br />

• Grading rubric<br />

Hints on how to get started:<br />

• Convert <strong>the</strong> lengths and speeds to metric units. 1609 meters = 1 mile; 3.3 ft = 1 meter<br />

• Calculate how long it would take <strong>the</strong> bus to cross <strong>the</strong> gap.<br />

• Choose a timestep between pictures that is small enough so that you have at least 5 pictures of<br />

<strong>the</strong> bus in <strong>the</strong> gap.<br />

• Calculate <strong>the</strong> x- and y- positions at each time, <strong>the</strong>n convert <strong>the</strong>m to <strong>the</strong> scale of your diagram.<br />

(1 meter = 1 cm, for example)<br />

[] The assignment is worth 50 points.


<strong>Speed</strong> Project Animation – Nearly Step-by-Step Directions<br />

You can figure out <strong>the</strong> rest – be a persistent <strong>problem</strong> solver!<br />

The steps below outline a basic technique that will lead to successful completion of <strong>the</strong> project.<br />

However, <strong>the</strong>re are much more sophisticated ways of completing this project, and I encourage<br />

you to pursue <strong>the</strong>m as your time and interest allow.<br />

Preparing <strong>the</strong> Data<br />

-complete conversions, determine timestep, and calculate x- and y- positions at each time<br />

-find <strong>the</strong> scaling factor:<br />

-find length of screen in cm<br />

-find a scene length in meters that will give you enough room for your animation<br />

-divide width of screen (cm) by length of scene (m) to get <strong>the</strong> scaling factor (cm/m)<br />

(you will have to begin <strong>the</strong> animation process below to determine <strong>the</strong> screen width)<br />

-multiply <strong>the</strong> X and Y positions (in meters) by <strong>the</strong> scaling factor (cm/m) to find <strong>the</strong> location of<br />

<strong>the</strong> bottom of <strong>the</strong> front tire of your bus in each frame<br />

Making <strong>the</strong> animation – Powerpoint, Appleworks Presentation, or Keynote<br />

The directions vary slightly for each program, so search until you find equivalent commands<br />

-under <strong>the</strong> “view” menu, check “rulers” (under <strong>the</strong> “format” menu, choose “rulers”)<br />

-under <strong>the</strong> “Powerpoint” menu, select “Preferences,” make <strong>the</strong> ruler units “centimeters”<br />

-convert length of your gap to centimeters to fit <strong>the</strong> computer screen<br />

-with a drawing tool, mark edges of <strong>the</strong> gap according to your calculations<br />

-draw <strong>the</strong> bridge on both sides of <strong>the</strong> gap all <strong>the</strong> way to <strong>the</strong> screen edges, add details and color<br />

-use <strong>the</strong> selection tool to make a box around all bridge elements under <strong>the</strong> “Arrange” menu,<br />

choose “Group”<br />

-draw <strong>the</strong> bus to scale (see <strong>the</strong> bus photos or <strong>the</strong> scale model) and color <strong>the</strong> bus.<br />

-use <strong>the</strong> “Group” command: <strong>the</strong> bus can now be moved around as one object<br />

-move <strong>the</strong> bus to <strong>the</strong> starting position,<br />

-<strong>from</strong> <strong>the</strong> “edit” menu, “select all” (or use “command” + “a”)<br />

-<strong>from</strong> <strong>the</strong> “edit” menu, “copy” (or use “command” + “c”)<br />

-create (or insert) a new slide<br />

-in <strong>the</strong> new slide, <strong>from</strong> <strong>the</strong> edit menu, “paste” (or use “command” + “v”)<br />

-move <strong>the</strong> bus according to your calculations<br />

-repeat process frame by frame until you have completed at least ten frames with at least five of<br />

those frames in <strong>the</strong> gap<br />

-add background or o<strong>the</strong>r details<br />

-click “view presentation” or “play slideshow”<br />

-set playback to automatically advance one frame every second<br />

In <strong>the</strong> past students have also used AutoCad3D, Google SketchUp, Adobe Flash, Windows<br />

Movie Maker, iMovie, and stop-motion animation (see http://www.samanimation.com/). Enjoy<br />

<strong>the</strong> project – I often comment on <strong>the</strong> <strong>problem</strong> solving abilities I see in this project when writing<br />

college recommendations.

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