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https://texercises.com/exercise/matura-m-teil-1-fallschirmspringer/
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Exercise:
Wie sieht der Geschwindigkeitsverlauf eines Fallschirmspringers aus?

Solution:
tikzpicturescale fill blue!!white - arc::cm and .cm; fill white --. arc::.cm and .cm; fill white--. arc::.cm and .cm; fill white--. arc::.cm and .cm; fill white--. arc::.cm and .cm; draw -----; draw -----; draw -----; draw -----; draw -----; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; drawvery thick-.-. to -.-.; drawvery thick -.-. to -.-.; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; fill -.-. arc::.cm and .mm; fill -.-. arc::.cm and .mm; fill --. ellipse pt and pt; fill --. circle pt; fill -.-. arc::.mm and .cm; fill -.-. arc::.mm and .cm; draw- latex line widthpt colorred!!yellow - --- nodemidway right sscFGmg; draw- latex line widthpt colorgreen!!black -- ---- nodemidway left sscFLfracrho Ac_textwv^; tikzpicture bf Annahme: sscFR propto v^ m fracmboxdvmboxdt mg - frac rho A c_w v^ %fracmmg - frac kappa v^ mboxdv mboxdt tcbhighmath frac-x^ mboxdx fracgsscvE mboxdt textartanh fracvsscvE fracgsscvE t + C vt sscvE tanh leftfracgsscvE tright bf Reale Daten: sscve &approx sscte &approx s bf Grafik: center tikzpicturelatex axis xmin xmax ymin ymax axis linescenter axis on toptrue domain: samples ylabelvsimeterpersecond xlabeltsis axis line stylegreen!!black every axis label/.app stylegreen!!black every tick label/.app stylegreen!!black extra x ticks extra tick styleredgridmajor addplot marknonedrawredthick *tanh.*x; %/ damit nach s etwa v node right red at axis cs: vt sscvE tanh leftfracgsscvE tright; %% Add the asymptotes draw blue dotted thick axis cs:-- axis cs:; % draw blue dotted thick axis cs:+.+-- axis cs:+; axis tikzpicture center
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\(\LaTeX\)-Code
Exercise:
Wie sieht der Geschwindigkeitsverlauf eines Fallschirmspringers aus?

Solution:
tikzpicturescale fill blue!!white - arc::cm and .cm; fill white --. arc::.cm and .cm; fill white--. arc::.cm and .cm; fill white--. arc::.cm and .cm; fill white--. arc::.cm and .cm; draw -----; draw -----; draw -----; draw -----; draw -----; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; drawvery thick-.-. to -.-.; drawvery thick -.-. to -.-.; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; drawvery thick--. to -.-.; drawvery thick-.-. to -.-.; fill -.-. arc::.cm and .mm; fill -.-. arc::.cm and .mm; fill --. ellipse pt and pt; fill --. circle pt; fill -.-. arc::.mm and .cm; fill -.-. arc::.mm and .cm; draw- latex line widthpt colorred!!yellow - --- nodemidway right sscFGmg; draw- latex line widthpt colorgreen!!black -- ---- nodemidway left sscFLfracrho Ac_textwv^; tikzpicture bf Annahme: sscFR propto v^ m fracmboxdvmboxdt mg - frac rho A c_w v^ %fracmmg - frac kappa v^ mboxdv mboxdt tcbhighmath frac-x^ mboxdx fracgsscvE mboxdt textartanh fracvsscvE fracgsscvE t + C vt sscvE tanh leftfracgsscvE tright bf Reale Daten: sscve &approx sscte &approx s bf Grafik: center tikzpicturelatex axis xmin xmax ymin ymax axis linescenter axis on toptrue domain: samples ylabelvsimeterpersecond xlabeltsis axis line stylegreen!!black every axis label/.app stylegreen!!black every tick label/.app stylegreen!!black extra x ticks extra tick styleredgridmajor addplot marknonedrawredthick *tanh.*x; %/ damit nach s etwa v node right red at axis cs: vt sscvE tanh leftfracgsscvE tright; %% Add the asymptotes draw blue dotted thick axis cs:-- axis cs:; % draw blue dotted thick axis cs:+.+-- axis cs:+; axis tikzpicture center
Contained in these collections:

Attributes & Decorations
Branches
Gravitation
Tags
dgl, differentialgleichung, fall, fallschirm, fallschirmspringer, freier fall, geschwindigkeit, gravitation, mathematik, matura, mechanik, mündlich, newton, pam, physik, zw
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link