Projectile Motion

claimed by ngillis3

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Short Description of Topic

The Main Idea

State, in your own words, the main idea for this topic Electric Field of Capacitor

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

<link type="text/css" href="http://www.glowscript.org/css/redmond/1.1/jquery-ui.custom.css" rel="stylesheet" /> <link href="http://fonts.googleapis.com/css?family=Inconsolata" rel="stylesheet" type="text/css"> <link type="text/css" href="http://www.glowscript.org/css/ide.css" rel="stylesheet" /> <script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML"></script> <script type="text/javascript" src="http://www.glowscript.org/lib/jquery/1.1/jquery.min.js"></script> <script type="text/javascript" src="http://www.glowscript.org/lib/jquery/1.1/jquery-ui.custom.min.js"></script> <script type="text/javascript" src="http://www.glowscript.org/package/glow.1.1.min.js"></script> <script type="text/javascript" src="http://www.glowscript.org/package/RSrun.1.1.min.js"></script> <script type="text/javascript">

(function() {

var __g=typeof global!=='undefined'?global:window;__g=(__g.__streamline||(__g.__streamline={}));__g.setEF=__g.setEF||function(e,f){e.__frame = e.__frame||f};var __srcName='undefined_.js'; function __func(_,__this,__arguments,fn,index,frame,body){if(!_){return __future.call(__this,fn,__arguments,index)}frame.file=__srcName;frame.prev=__g.frame;__g.frame=frame;try{body()}catch(e){__g.setEF(e,frame.prev);__propagate(_,e)}finally{__g.frame=frame.prev}} function __cb(_,frame,offset,col,fn){frame.offset=offset;frame.col=col;var ctx=__g.context;return function ___(err,result){var oldFrame=__g.frame;__g.frame=frame;__g.context=ctx;try{if(err){__g.setEF(err,frame);return _(err)}return fn(null,result)}catch(ex){__g.setEF(ex,frame);return __propagate(_,ex)}finally{__g.frame=oldFrame}}} function __future(fn,args,i){var done,err,result;var cb=function(e,r){done=true;err=e,result=r};args=Array.prototype.slice.call(args);args[i]=function ___(e,r){cb(e,r)};fn.apply(this,args);return function ___(_){if(done)_.call(this,err,result);else cb=_.bind(this)}.bind(this)} function __propagate(_,err){try{_(err)}catch(ex){__trap(ex)}} function __trap(err){if(err){if(__g.context&&__g.context.errorHandler)__g.context.errorHandler(err);else console.error("UNCAUGHT EXCEPTION: "+err.message+"\n"+err.stack)}} /* 1 */ function main(wait) {

             var version, box, sphere, cylinder, pyramid, cone, helix, ellipsoid, ring, arrow, graph, display, vector, _$GS_$END, scene, _$rapyd$_Temp, _$rapyd$_print, arange, field, ball, trail, g, deltat, Fnet, t;
             var __frame = {
               name: "main",
               line: 1
             };
             return __func(wait, this, arguments, main, 0, __frame, function __$main() {

/* 3 */ version = ["1.1","glowscript",]; /* 4 */ window.__GSlang = "vpython"; /* 5 */ box = vp_box; /* 6 */ sphere = vp_sphere; /* 7 */ cylinder = vp_cylinder; /* 8 */ pyramid = vp_pyramid; /* 9 */ cone = vp_cone; /* 10 */ helix = vp_helix; /* 11 */ ellipsoid = vp_ellipsoid; /* 12 */ ring = vp_ring; /* 13 */ arrow = vp_arrow; /* 14 */ graph = vp_graph; /* 15 */ display = canvas; /* 16 */ vector = vec; /* 17 */ _$GS_$END = 0; /* 18 */ scene = canvas(); /* 19 */ _$rapyd$_Temp = 0; /* 20 */ _$rapyd$_print = GSprint; /* 21 */ arange = range; /* 23 */ scene.background = color.black; /* 25 */ field = box({ /* 25 */ pos: vector(0, 0, 0), /* 25 */ size: vector(300, 10, 100), /* 25 */ color: color.red, /* 25 */ opacity: 0.3

               });

/* 27 */ ball = sphere({ /* 27 */ radius: 10, /* 27 */ color: color.blue

               });

/* 29 */ trail = curve({ /* 29 */ color: color.green, /* 29 */ radius: 3

               });

/* 31 */ ball.m = 0.6; /* 33 */ ball.pos = vector(150["-u"](), 0, 0); /* 35 */ ball.v = vector(30, 40, 0); /* 37 */ g = vector(0, 9.8["-u"](), 0); /* 39 */ t = 0; /* 41 */ deltat = 0.001;

               return (function ___(__break) {
                 var __more;
                 var __loop = __cb(wait, __frame, 0, 0, function __$main() {
                   __more = false;

/* 43 */ var __1 = (ball.pos.y >= 0);

                   if (__1) {

/* 45 */ return rate(1000, __cb(wait, __frame, 44, -1, function __$main() { /* 47 */ Fnet = ball.m["*"](g); /* 49 */ ball.v = ball.v["+"](Fnet["/"](ball.m)["*"](deltat)); /* 51 */ ball.pos = ball.pos["+"](ball.v["*"](deltat)); /* 53 */ trail.append({ /* 53 */ pos: ball.pos

                       });

/* 55 */ t = t["+"](deltat);

                       while (__more) {
                         __loop();
                       };
                       __more = true;
                     }));
                   }
                    else {
                     __break();
                   }
                 ;
                 });
                 do {
                   __loop();
                 } while (__more);
                 __more = true;
               })(function __$main() {

/* 58 */ print; /* 59 */ t; /* 61 */ print; /* 62 */ ball.pos;

                 wait();
               });
             });
           };

/* 64 */ main;

$(function(){ window.__context = { glowscript_container

$("#glowscript").removeAttr("id") }; main() })})()

</script>

Examples

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Connectedness

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See also

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Further reading

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External links

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