Feat: exercices de l'étape 1 pour les sti2d
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\begin{exercise}[subtitle={Balistique}, step={1}, origin={Création}, topics={Dérivation}, tags={Dérivation, Physique, Tache complexe}]
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Le gouvernement est inquiet. Un état ennemie a tiré un projectile en sa direction. Sa trajectoire a été a été enregistrée et est représentée sur les 2 graphiques ci-dessous. Le premier représente la distance au sol de l'objet en fonction du temps et le deuxième sa hauteur en fonction du temps.
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\includegraphics[scale=0.3]{./fig/balistique}
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% \begin{tikzpicture}[baseline=(current bounding box.south),
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% xscale=0.5, yscale=0.5]
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% \tkzInit[xmin=0,xmax=14,xstep=1,
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% ymin=0,ymax=4000,ystep=500]
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% \tkzGrid
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% \tkzDrawX[label={$t$},above=0pt]
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% \tkzDrawY[label={$Distance (m)$}, right=2pt ]
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% \tkzLabelX
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% \tkzLabelY
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% \tkzFct[domain=0:12.2,color=red,very thick,%
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% ]{294*\x};
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% \tkzFct[domain=12.2:14,color=red,very thick,%
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% ]{294*12.2};
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% \end{tikzpicture}
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% \begin{tikzpicture}[baseline=(current bounding box.south), xscale=0.5, yscale=0.35]
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% \tkzInit[xmin=0,xmax=14,xstep=1,
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% ymin=0,ymax=200,ystep=20]
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% \tkzGrid
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% \tkzDrawX[label={$t$},above=0pt]
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% \tkzDrawY[label={$Hauteur (m)$}, right=2pt ]
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% \tkzLabelX
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% \tkzLabelY
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% \tkzFct[color=red,very thick,%
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% domain=0:12.3
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% ]{-4.9*\x**2+60*\x};
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% \tkzFct[color=red,very thick,%
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% domain=12.3:14
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% ]{0};
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% \end{tikzpicture}
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\begin{tikzpicture}[baseline=(current bounding box.south), xscale=0.5, yscale=0.5]
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\tkzInit[xmin=0,xmax=14,xstep=1,
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ymin=0,ymax=3600,ystep=500]
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\tkzGrid
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\tkzAxeXY
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\tkzFct[color=red,very thick,%
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]{294*\x};
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\end{tikzpicture}
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\begin{tikzpicture}[baseline=(current bounding box.south), xscale=0.5, yscale=0.35]
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\tkzInit[xmin=0,xmax=14,xstep=1,
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ymin=0,ymax=200,ystep=20]
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\tkzGrid
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\tkzAxeXY
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\tkzFct[color=red,very thick,%
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%domain=0:12.2
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]{-4.9*\x**2+60*\x};
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\end{tikzpicture}
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\begin{enumerate}
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\item Combien de temps le projectile est-il resté en l'air?
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@ -47,13 +60,17 @@
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\end{minipage}
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\hfill
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[baseline=(current bounding box.south), xscale=1, yscale=0.6]
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\begin{tikzpicture}[baseline=(current bounding box.south), xscale=1.3, yscale=0.7]
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\tkzInit[xmin=0,xmax=5,xstep=1,
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ymin=0,ymax=5,ystep=1]
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\tkzDrawX[label={$t$},above=0pt]
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\tkzDrawY[label={$Concentration (mol/L)$}, right=2pt ]
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\tkzLabelX
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\tkzLabelY
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\tkzGrid
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\tkzAxeXY
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\tkzGrid[sub]
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\tkzFct[color=red,very thick]%
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{1/(1+exp(x)};
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{4/(1+2*exp(-2*(x-1.5)))};
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\end{tikzpicture}
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\end{minipage}
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\end{exercise}
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TST_sti2d/01_Derivation/fig/balistique.png
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TST_sti2d/01_Derivation/fig/balistique.png
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