1
Nein, das ist nicht korrekt. Es hilft, wenn du dir die Bewegungen zunächst getrennt aufschreibst und, noch besser, dir eine Skizze machst:
![](data:image/png;base64,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)
Auf der y-Achse die jeweilige Strecke in m und auf der x-Achse die Zeit in s. Blau das Auto und rot der LKW
Du hast richtig erkannt, dass das Auto dem Bewegungsgesetz
$s_A(t)=\dfrac{1}{2}a_At^2$
folgt. Der LKW hat allerdings einen Vorsprung von $100\mathrm{m}$, als das Auto los fährt.
Hier gilt also:
$s_L(t)=v_L \cdot t + s_0$
Den Schnittpunkt findest du, indem du die beiden Bewegungen gleichsetzt, denn du suchst ja gerade den Punkt, an dem beide Fahrzeuge auf gleicher Höhe sind. Nach $t$ aufgelöst findest du den zugehörigen Zeitpunkt. Für die b musst du dir auch nochmal Gedanken machen.
Auf der y-Achse die jeweilige Strecke in m und auf der x-Achse die Zeit in s. Blau das Auto und rot der LKW
Du hast richtig erkannt, dass das Auto dem Bewegungsgesetz
$s_A(t)=\dfrac{1}{2}a_At^2$
folgt. Der LKW hat allerdings einen Vorsprung von $100\mathrm{m}$, als das Auto los fährt.
Hier gilt also:
$s_L(t)=v_L \cdot t + s_0$
Den Schnittpunkt findest du, indem du die beiden Bewegungen gleichsetzt, denn du suchst ja gerade den Punkt, an dem beide Fahrzeuge auf gleicher Höhe sind. Nach $t$ aufgelöst findest du den zugehörigen Zeitpunkt. Für die b musst du dir auch nochmal Gedanken machen.
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vetox
Student, Punkte: 1.35K
Student, Punkte: 1.35K
Hallo und danke für die schnelle Antwort. Leider komme ich dann für t bei 69,079s raus. Hast du vielleicht eine Musterlösung, wie du auf deine Werte kommst? Vielen Dank und schönes Wochenende.
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user3e548f
09.02.2024 um 23:39
Lad gerne mal deinen Rechenweg hoch. Wie gesagt, der Ansatz ist $\dfrac{1}{2}a_A t^2=v_L t +s_0 $ und jetzte nach $t$ auflösen. Das ist eine quadratische Funktion, du benötigst hierfür also die $pq$- oder $abc$-Formel. Dabei erhälst du zwei Lösungen für $t$, wobei hier natürlich nur der positive Wert Sinn macht. Wenn du wirklich gar nicht drauf kommst einfach nochmal melden, dann kann ich es dir auch vorrechnen.
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vetox
10.02.2024 um 02:09