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Zuletzt geändert von Holger Engels am 2026/10/17 14:38
Von Version 61.1
bearbeitet von Holger Engels
am 2026/10/12 10:17
Änderungskommentar: Neues Bild Photovoltaik.svg hochladen
Auf Version 64.2
bearbeitet von Holger Engels
am 2026/10/12 10:24
Änderungskommentar: Es gibt keinen Kommentar für diese Version

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35 35  {{aufgabe id="Test-Rakete" afb="II" kompetenzen="K3,K4" quelle="Holger Engels" zeit="9"}}
36 36  Bei der Erprobung eines neuen Raketenantriebs werden verschiedene Flugprofile getestet. Bereits eingezeichnet in das Geschwindigkeits-Zeit-Diagramm ist ein unrealistisches Flugprofil, bei dem die Rakete schlagartig auf ihre Reisegeschwindigkeit kommt und diese die gesamten 20 Sekunden konstant hält.
37 37  
38 -[[image:Rakete.svg||width=600]]
39 -Der Flächeninhalt unter dem Graphen der Geschwindigkeit entspricht dem zurückgelegten Weg //s// (in m).
38 +[[image:Rakete.svg||width=600 class=left]]Der Flächeninhalt unter dem Graphen der Geschwindigkeit entspricht dem zurückgelegten Weg //s// (in m).
40 40  
40 +(%style="clear:left"%)
41 41  Zeichne für die beiden folgenden Flugprofile jeweils einen möglichen Graphen in das Koordinatensystem ein. Allen drei Flugprofilen ist die Dauer von 20 Sekunden und die Strecke von 600 Metern gemein.
42 42  (%class=abc%)
43 43  1. Konstante Beschleunigung: Die Rakete startet aus dem Stand (//v(0) = 0//) und beschleunigt für 20 Sekunden mit einer konstanten Rate. Die Geschwindigkeit nimmt also linear zu.
... ... @@ -92,7 +92,7 @@
92 92  
93 93  == Eigenschaften ==
94 94  
95 -{{aufgabe id="Eigenschaften erläutern" afb="II" kompetenzen="K6" quelle="" zeit="6"}}
95 +{{aufgabe id="Eigenschaften erläutern" afb="II" kompetenzen="K6" quelle="Holger Engels" zeit="6"}}
96 96  Veranschauliche und begründe anhand einer Skizze oder anhand der Flächenbilanz, warum folgende Rechenregeln für stetige Funktionen gelten:
97 97  (%class="abc horiz"%)
98 98  1. ((({{formula}}\int_{a}^{b} f(x)\,dx + \int_{b}^{c} f(x)\,dx = \int_{a}^{c} f(x)\,dx{{/formula}})))
Photovoltaik.png
Author
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1 -XWiki.nilanurschams
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Rakete.svg
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1 -12.0 KB
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18 +
19 + <!-- Vertikale Achse (s-Achse) & Pfeil nach oben -->
20 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 63.5 14.5 L 63.5 366.5" stroke-opacity="1" stroke-miterlimit="10"/>
21 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d="M 63.5 14.5 L 59.5 18.5" stroke-opacity="1" stroke-miterlimit="10"/>
22 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d="M 63.5 14.5 L 67.5 18.5" stroke-opacity="1" stroke-miterlimit="10"/>
23 +
24 + <!-- Horizontale Achse (t-Achse) & Pfeil nach rechts -->
25 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 63.5 366.5 L 755.5 366.5" stroke-opacity="1" stroke-miterlimit="10"/>
26 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d="M 755.5 366.5 L 751.5 362.5" stroke-opacity="1" stroke-miterlimit="10"/>
27 + <path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d="M 755.5 366.5 L 751.5 370.5" stroke-opacity="1" stroke-miterlimit="10"/>
28 +
29 + <!-- T-Achsen-Zahlen -->
30 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="127" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">2</text>
31 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="193" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">4</text>
32 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="258" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">6</text>
33 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="324" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">8</text>
34 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="387" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">10</text>
35 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="452" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">12</text>
36 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="518" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">14</text>
37 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="584" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">16</text>
38 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="649" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">18</text>
39 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="715" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">20</text>
40 +
41 + <!-- S-Achsen-Zahlen -->
42 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="321" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">10</text>
43 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="270" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">20</text>
44 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="220" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">30</text>
45 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="169" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">40</text>
46 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="119" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">50</text>
47 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="43" y="69" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">60</text>
48 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="49" y="382" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">0</text>
49 +
50 + <!-- Funktionsgraph -->
51 + <path fill="none" stroke="rgb(176,0,32)" paint-order="fill stroke markers" d=" M 63.727272727273 215.29113227078193 L 720.6251993620406 215.29113227078193" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="3.5"/>
52 +
53 + <!-- Achsenbeschriftungen -->
54 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="72" y="25" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">v [m/s]</text>
55 + <text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="724" y="355" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">t [s]</text>
56 + </g>
57 + </g>
58 +</svg>
59 +