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l.13 \maketitle
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l.17 ...zadania jest znalezienie punktów przecię
cia dwóch funkcji: funkcj...
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l.17 ...funkcji kwadratowej. Obie funkcje opisują
zależność położenia ...
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l.23 \section*{Rozwiązanie}
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l.25 Aby znaleźć punkty przecię
cia, przyrównujemy obie funkcje do siebie:
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l.30 Przenoszą
c wszystkie wyrazy na jedną stronę, otrzymujemy równanie k...
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l.30 Przenosząc wszystkie wyrazy na jedną
stronę, otrzymujemy równanie k...
?
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l.30 ...nosząc wszystkie wyrazy na jedną stronę
, otrzymujemy równanie kw...
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l.35 Równanie to można rozwią
zać przy użyciu wzoru kwadratowego:
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l.42 Dla potrzeb zadania przyję
liśmy następujące wartości parametrów:
?
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l.42 Dla potrzeb zadania przyjęliśmy nastę
pujące wartości parametrów:
?
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l.42 Dla potrzeb zadania przyjęliśmy następują
ce wartości parametrów:
?
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l.44 \item Prę
dkość \( v = 5 \, \text{m/s} \)
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l.45 \item Począ
tkowe położenie \( s_0 = 2 \, \text{m} \)
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l.49 \section*{Punkty przecięcia}
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l.51 Rozwią
zując równanie kwadratowe, otrzymaliśmy następujące wartoś...
?
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l.51 Rozwiązują
c równanie kwadratowe, otrzymaliśmy następujące wartoś...
?
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l.51 ...równanie kwadratowe, otrzymaliśmy nastę
pujące wartości \( t \) ...
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l.51 ...anie kwadratowe, otrzymaliśmy następują
ce wartości \( t \) oraz ...
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l.51 ...ujące wartości \( t \) oraz odpowiadają
ce im wartości położeni...
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l.54 \item Punkt przecię
cia 1: \( t_1 = \frac{-B + \sqrt{B^2 - 4 \cdot ...
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l.55 \item Punkt przecię
cia 2: \( t_2 = \frac{-B - \sqrt{B^2 - 4 \cdot ...
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l.56 \end{itemize}
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l.56 \end{itemize}
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l.56 \end{itemize}
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l.60 ...towej wraz z oznaczeniem punktów przecię
cia.
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l.63 ...idth=0.8\textwidth]{intersection_plot.png}
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