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Flashexempel för undervisning: Två bollar - Versionshistorik
2026-05-14T04:29:04Z
Versionshistorik för denna sida på wikin
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https://wikiskola.se/index.php?title=Flashexempel_f%C3%B6r_undervisning:_Tv%C3%A5_bollar&diff=12147&oldid=prev
Hakan den 2 mars 2012 kl. 23.48
2012-03-02T23:48:41Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Äldre version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2012 kl. 23.48</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><facelikebutton style="2" showsend="0"></facelikebutton></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><facelikebutton style="2" showsend="0"></facelikebutton></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Två bollar'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Två bollar'''</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
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Hakan
https://wikiskola.se/index.php?title=Flashexempel_f%C3%B6r_undervisning:_Tv%C3%A5_bollar&diff=12146&oldid=prev
Hakan den 2 mars 2012 kl. 23.48
2012-03-02T23:48:21Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Äldre version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2012 kl. 23.48</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><facelikebutton style="2" showsend="0"></facelikebutton></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Två bollar'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Två bollar'''</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
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Hakan
https://wikiskola.se/index.php?title=Flashexempel_f%C3%B6r_undervisning:_Tv%C3%A5_bollar&diff=12144&oldid=prev
Hakan: /* Visa med Geogebra */
2012-03-02T23:44:11Z
<p><span dir="auto"><span class="autocomment">Visa med Geogebra</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2012 kl. 23.44</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l34">Rad 34:</td>
<td colspan="2" class="diff-lineno">Rad 34:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>På nästa rad låter jag yvelocity+gravity från raden ovan gå in som nytt yvelocity. På samma sätt hämtas this._y från this._y+yvelocity på raden ovanför. Detta visar en accelererande ökning på this._y.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>På nästa rad låter jag yvelocity+gravity från raden ovan gå in som nytt yvelocity. På samma sätt hämtas this._y från this._y+yvelocity på raden ovanför. Detta visar en accelererande ökning på this._y.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Sedan skapar jag en lista med talpar av time och this._y+yvelocity. Därefter anpassar jag ett polynom till punkterna med kommandot RegressionPoly[Lista1, 2]. Det blir en andragradsfunktion. Funktionen blir f(x) = 4.91x<sup>2</sup>+4.91x+0 vilket stämmer precis med fysikformeln s = at<sup>2</sup>/2+v<sub>0</sub>t (formeln ovan men omvänd ordning på termerna).</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Sedan skapar jag en lista med talpar av time och this._y+yvelocity. Därefter anpassar jag ett polynom till punkterna med kommandot RegressionPoly[Lista1, 2]. Det blir en andragradsfunktion. Funktionen blir f(x) = 4.91x<sup>2</sup>+4.91x+0 vilket stämmer precis med fysikformeln s = at<sup>2</sup>/2+v<sub>0</sub>t (formeln ovan men omvänd ordning på termerna<ins style="font-weight: bold; text-decoration: none;">, 4.91=9.82/2</ins>).</div></td></tr>
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</table>
Hakan
https://wikiskola.se/index.php?title=Flashexempel_f%C3%B6r_undervisning:_Tv%C3%A5_bollar&diff=12143&oldid=prev
Hakan: /* Visa med Geogebra */
2012-03-02T23:41:41Z
<p><span dir="auto"><span class="autocomment">Visa med Geogebra</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Äldre version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2012 kl. 23.41</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l34">Rad 34:</td>
<td colspan="2" class="diff-lineno">Rad 34:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>På nästa rad låter jag yvelocity+gravity från raden ovan gå in som nytt yvelocity. På samma sätt hämtas this._y från this._y+yvelocity på raden ovanför. Detta visar en accelererande ökning på this._y.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>På nästa rad låter jag yvelocity+gravity från raden ovan gå in som nytt yvelocity. På samma sätt hämtas this._y från this._y+yvelocity på raden ovanför. Detta visar en accelererande ökning på this._y.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Sedan skapar jag en lista med talpar av time och this._y+yvelocity. Därefter anpassar jag ett polynom till punkterna med kommandot RegressionPoly[Lista1, 2]. Det blir en andragradsfunktion. Funktionen blir f(x) = 4.91x<sup>2</sup>+4.91x+0 vilket stämmer precis med fysikformeln s = at<sup>2</sup>/2 <del style="font-weight: bold; text-decoration: none;">(v<sub>0</sub>=0)</del>+v<sub>0</sub>t (formeln ovan men omvänd ordning på termerna).</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Sedan skapar jag en lista med talpar av time och this._y+yvelocity. Därefter anpassar jag ett polynom till punkterna med kommandot RegressionPoly[Lista1, 2]. Det blir en andragradsfunktion. Funktionen blir f(x) = 4.91x<sup>2</sup>+4.91x+0 vilket stämmer precis med fysikformeln s = at<sup>2</sup>/2+v<sub>0</sub>t (formeln ovan men omvänd ordning på termerna).</div></td></tr>
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Hakan
https://wikiskola.se/index.php?title=Flashexempel_f%C3%B6r_undervisning:_Tv%C3%A5_bollar&diff=12142&oldid=prev
Hakan: Skapade sidan med ''''Två bollar''' Här använde jag en fri fil från [http://flashsourcecodes.com/Physics/19/gravity/ Flashsourcecodes] tillverkad av [http://flashsourcecodes.com/profile/51/...'
2012-03-02T23:39:31Z
<p>Skapade sidan med ''''Två bollar''' Här använde jag en fri fil från [http://flashsourcecodes.com/Physics/19/gravity/ Flashsourcecodes] tillverkad av [http://flashsourcecodes.com/profile/51/...'</p>
<p><b>Ny sida</b></p><div>'''Två bollar'''<br />
<br />
Här använde jag en fri fil från [http://flashsourcecodes.com/Physics/19/gravity/ Flashsourcecodes] tillverkad av [http://flashsourcecodes.com/profile/51/Wolfos/ Wolfos]<br />
<br />
Den visar dels att bollarna landar samtidigt trots att den ena bollen haren en hastighet i x-led. Öppnar man .fla-filen och högerkickar på den blå bollen ser man denna kod på rad 33-40:<br />
<br />
//sets the yspeed to equal the yvelocity.<br />
this._y = this._y + yvelocity;<br />
this._x = this._x + xvelocity;<br />
<br />
//if the yvelocity < maxvelocity then increase gravity pull.<br />
if (yvelocity < maxvelocity){<br />
yvelocity += gravity;<br />
}<br />
<br />
Man ser tydligt hur hastigheten ökar med accelerationen i varje loop. Acceleration är ju hastighetsökning per tidsenhet, vanligen m/s / s. <br />
<br />
yvelocity += gravity; betyder att hastigheten ökas med värdet på gravity. Man kan läsa om javascript i denna fina [http://www.w3schools.com/js/js_operators.asp tutorial på javaScript].<br />
<br />
Filerna är [[Media:Physics_2_bollar.swf|Physics_2_bollar.swf]] och Physics.fla men tyvärr är det en körbar fil av sådan typ som inte går att ladda upp på MediaWiki.<br />
<br />
==== Visa med Geogebra ====<br />
<br />
'''En fysiktolkning skulle vara att:'''<br />
<br />
I första delen har vi en st-kurva, dvs sträckan som tillryggaläggs i ett tidsintervall men en hastighet. Motsvarande st-kurva är en parabel. Jämför med att s = v<sub>0</sub>t + at<sup>2</sup>/2 (v<sub>0</sub>=0)<br />
<br />
I programmets andra del har vi en hastighetsökning på grund av tyngdaccelerationen (gravity). Detta är ju en vt-kurva som är linjär. <br />
<br />
'''En förklaring av programmet:''' <br />
<br />
I gGeoGebran nedan har jag lagt in värden i kalkylarket. Här jobbar jag baklänges mot programmet. Först får hastigheten yvelocity ökas med tyngdaccelerationen gravity. Sedan ökas positionen this._y med hastigheten yvelocity.<br />
<br />
På nästa rad låter jag yvelocity+gravity från raden ovan gå in som nytt yvelocity. På samma sätt hämtas this._y från this._y+yvelocity på raden ovanför. Detta visar en accelererande ökning på this._y.<br />
<br />
Sedan skapar jag en lista med talpar av time och this._y+yvelocity. Därefter anpassar jag ett polynom till punkterna med kommandot RegressionPoly[Lista1, 2]. Det blir en andragradsfunktion. Funktionen blir f(x) = 4.91x<sup>2</sup>+4.91x+0 vilket stämmer precis med fysikformeln s = at<sup>2</sup>/2 (v<sub>0</sub>=0)+v<sub>0</sub>t (formeln ovan men omvänd ordning på termerna).<br />
<br />
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Hakan