Tangenten und Geschwindigkeiten
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Exercise:
Lesen Sie für ein beschleunigtes Objekt die Geschwindigkeiten an den Punkten A B und C aus dem x-t-Diagramm heraus. center tikzpicturescale. % Koordinatensystem draw thick-latex -- node right ts; draw thick-latex -- node above xm; % Bewegung draw domain:line width.ptdrawblue plotidB samples x-.*x*x+*x; % Beschriftung foreach x in ... draw x -- x.; foreach y in ... draw y -- .y; foreach x in draw x. -- x.; node at x-. x; foreach y in ... draw .y -- .y; node at -.y y; % Punkte draw fillblack circle .mm; node leftyshiftmm at A; draw fillblack circle .mm; node aboveyshiftmm at B; draw fillblack circle .mm; node rightyshift.mm at C; tikzpicture center
Solution:
Durch geeignete Steigungsdreiecke findet man vgl. Abb.: center tikzpicturescale. % Koordinatensystem draw thick-latex -- node right ts; draw thick-latex -. -- node above xm; % Bewegung draw domain:line width.ptdrawblue plotidB samples x-.*x*x+*x; % Beschriftung foreach x in ... draw x -- x.; foreach y in --... draw y -- .y; foreach x in draw x. -- x.; node at x-. x; foreach y in -... draw .y -- .y; node at -.y y; % Punkte draw fillblack circle .mm; node leftyshiftmm at A; draw fillblack circle .mm; node aboveyshiftmm at B; draw fillblack circle .mm; node rightyshift.mm at C; % Steigungsdreiecke draw -- . -- node right Delta x -- node below Delta t ; draw -- - -- - -- ; tikzpicture center eqnarray* v_A & fracDelta xDelta t frac. . v_B & v_C & frac- - eqnarray*
Lesen Sie für ein beschleunigtes Objekt die Geschwindigkeiten an den Punkten A B und C aus dem x-t-Diagramm heraus. center tikzpicturescale. % Koordinatensystem draw thick-latex -- node right ts; draw thick-latex -- node above xm; % Bewegung draw domain:line width.ptdrawblue plotidB samples x-.*x*x+*x; % Beschriftung foreach x in ... draw x -- x.; foreach y in ... draw y -- .y; foreach x in draw x. -- x.; node at x-. x; foreach y in ... draw .y -- .y; node at -.y y; % Punkte draw fillblack circle .mm; node leftyshiftmm at A; draw fillblack circle .mm; node aboveyshiftmm at B; draw fillblack circle .mm; node rightyshift.mm at C; tikzpicture center
Solution:
Durch geeignete Steigungsdreiecke findet man vgl. Abb.: center tikzpicturescale. % Koordinatensystem draw thick-latex -- node right ts; draw thick-latex -. -- node above xm; % Bewegung draw domain:line width.ptdrawblue plotidB samples x-.*x*x+*x; % Beschriftung foreach x in ... draw x -- x.; foreach y in --... draw y -- .y; foreach x in draw x. -- x.; node at x-. x; foreach y in -... draw .y -- .y; node at -.y y; % Punkte draw fillblack circle .mm; node leftyshiftmm at A; draw fillblack circle .mm; node aboveyshiftmm at B; draw fillblack circle .mm; node rightyshift.mm at C; % Steigungsdreiecke draw -- . -- node right Delta x -- node below Delta t ; draw -- - -- - -- ; tikzpicture center eqnarray* v_A & fracDelta xDelta t frac. . v_B & v_C & frac- - eqnarray*