Tizennegyedik vizsga
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2020-21-1-04/Megoldas/gknb_intm049_2020-21-1_04.pdf
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2020-21-1-04/Megoldas/gknb_intm049_2020-21-1_04.pdf
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2020-21-1-04/Megoldas/index.html
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2020-21-1-04/Megoldas/index.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Ferde hajítás</title>
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<link rel="stylesheet" href="./style.css">
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</head>
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<body>
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<h1>Ferde hajítás</h1>
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<p>
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Ferde hajítás akkor jön létre, ha a test kezdősebességének iránya nem vízszintes és nem is függőleges. A ferde hajítás két mozgás összegének tekinthető: a test vízszintesen egyenes vonalú egyenletes mozgást végez, a mozgás függőleges összetevője pedig egyenes vonalú egyenletesen változó mozgás[2].
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</p>
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<p>
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A mozgás leírásához vegyünk fel egy koordináta-rendszert úgy, hogy az origó a test kiindulási (t = 0-hoz tartozó) helyzeténél legyen, az Y tengely függőlegesen felfelé mutasson, az XY sík pedig tartalmazza a v0 kezdősebességet! A mozgás kezdősebessége és a g földi nehézségi gyorsulás is az XY síkban helyezkedik el, így a test végig ebben a síkban mozog, azaz a Z koordináta folyamatosan nulla marad. (Emiatt a Z koordinátával a továbbiakban nem foglalkozunk.) A kezdősebességnek az X tengellyel bezárt szögét a továbbiakban α jelöli.
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</p>
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<img src="./pm.svg" alt="Ferde hajítás" title="Ferde hajítás">
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<h2>Kinematikai jellemzőket</h2>
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<h3>Sebesség</h3>
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<div class="keplet">
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<p>
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<i>v</i><sub>x</sub> = v<sub>0</sub>cos(a)
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</p>
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<p>
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<i>v</i><sub>y</sub> = v<sub>0</sub>sin(a)
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</p>
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</div>
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<h3>Elmozdulás</h3>
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<div class="keplet">
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<p>
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<i>x</i> = v<sub>0</sub>tcos(a)
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</p>
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<p>
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<i>y</i> = v<sub>0</sub>tsin(a)-gt<sup>2</sup>/2
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</p>
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</div>
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<fieldset>
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<legend>Paraméterek</legend>
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<form action="">
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<div>
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<label for="v0param">V0 </label>
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<input type="number" name="v0param" min="0" placeholder="Kezdősebesség (m/s)" id="v0">
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</div>
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<div>
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<label for="aparam">a </label>
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<input type="number" name="aparam" min="0" max="90" placeholder="Dobás szöge (fok)" id="a">
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</div>
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<div>
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<button onclick="szamol(event)">Számol</button>
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</div>
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</form>
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</fieldset>
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<table id="outputtable">
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<tr>
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<th>t (sec)</th>
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<th>x (m)</th>
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<th>y (m)</th>
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</tr>
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</table>
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<script src="./script.js"></script>
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</body>
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</html>
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2020-21-1-04/Megoldas/pm.svg
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xml:space="preserve"
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sodipodi:linespacing="125%"><tspan
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sodipodi:role="line"
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id="tspan6701"
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xml:space="preserve"
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sodipodi:linespacing="125%"><tspan
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sodipodi:role="line"
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</svg>
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After Width: | Height: | Size: 13 KiB |
52
2020-21-1-04/Megoldas/script.js
Normal file
52
2020-21-1-04/Megoldas/script.js
Normal file
@ -0,0 +1,52 @@
|
||||
const GRAVITY = 9.81;
|
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const PI = Math.PI
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|
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function szamol(event){
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event.preventDefault();
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var v0 = Number(document.getElementById("v0").value);
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var a = Number(document.getElementById("a").value);
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var rows = [];
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var prev = Array.from(document.getElementsByClassName("results"))
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for(i in prev){
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prev[i].remove();
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}
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var time = 0.000;
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do{
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x = calcx(v0, time, a);
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y = calcy(v0, time, a);
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var row = document.createElement("tr");
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row.classList = "results";
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var cel1 = document.createElement("td")
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cel1.textContent = time;
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row.appendChild(cel1)
|
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var cel2 = document.createElement("td")
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cel2.textContent = x;
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row.appendChild(cel2)
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var cel3 = document.createElement("td")
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cel3.textContent = y;
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row.appendChild(cel3)
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document.getElementById("outputtable").appendChild(row);
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console.log(row)
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time = Math.round(time*1000+100)/1000
|
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}while(calcy(v0, time, a) > 0)
|
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}
|
||||
|
||||
function calcx(v0, t, a){
|
||||
a = a*(PI/180)
|
||||
var x = v0 * t * Math.cos(a);
|
||||
x = Math.round(x*1000)/1000
|
||||
return x;
|
||||
}
|
||||
|
||||
function calcy(v0, t, a){
|
||||
a = a*(PI/180)
|
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var y = v0 * t * Math.sin(a) - (GRAVITY/2 * Math.pow(t, 2));
|
||||
y = Math.round(y*1000)/1000
|
||||
return y;
|
||||
}
|
12
2020-21-1-04/Megoldas/style.css
Normal file
12
2020-21-1-04/Megoldas/style.css
Normal file
@ -0,0 +1,12 @@
|
||||
h1{
|
||||
letter-spacing: .5vw;
|
||||
text-transform: uppercase;
|
||||
margin: 2px 0px;
|
||||
}
|
||||
|
||||
img{
|
||||
width: 33%;
|
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max-width: 15cm;
|
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min-width: 5cm;
|
||||
}
|
||||
|
Reference in New Issue
Block a user