g =

v_0 =

Soll

Schiefer Wurf - 2

Version Stand
14.03.3024
Andreas Jäger

Stand

a_{Auf} =

xAuf = 26.8221 (slider from 1.0E-4 to 100, step 0.001)
v0: 20
g: 10
h = 0 (slider from 0 to 50, step 0.001)
alpha1: asin(sqrt((1 - sqrt(1 - ((g^(2) * xAuf^(2))) / v0^(4))) / 2))
alpha2: asin(sqrt((1 + sqrt(1 - ((g^(2) * xAuf^(2))) / v0^(4))) / 2))
y1(x) = If[0 ≤ x ≤ xAuf, h - ((g * x^(2))) / (((2 * v0^(2)) * (cos(alpha1))^(2))) + (x * tan(alpha1))]
y2(x) = If[0 ≤ x ≤ xAuf, h - ((g * x^(2))) / (((2 * v0^(2)) * (cos(alpha2))^(2))) + (x * tan(alpha2))]
xG: v0^(2) / g
X: (xAuf, 0)
XG: (xG, 0)
Eingabefeld1 = Textfield(g)
Eingabefeld2 = Textfield(v0)
Text3: "x_{auf}= " + (LaTeX[xAuf]) + "\ m"
v0x1: (v0 * cos(alpha1))
v0x2: (v0 * cos(alpha2))
v0y1: (v0 * sin(alpha1))
v0y2: (v0 * sin(alpha2))
V02 = Vector((0, 0), (v0x2, v0y2))
V01 = Vector((0, 0), (v0x1, v0y1))
Text2: "\alpha_2 =  " + (LaTeX[(360 / ((2 * pi)) * alpha2)]) + "\degree\cr
\vec{v}_{02}=" + (LaTeX[V02]) + "\ {m\over s}"
Text1: "\alpha_1 = " + (LaTeX[(360 / ((2 * pi)) * alpha1)]) + "\degree\cr
\vec{v}_{01}= " + (LaTeX[V01]) + "\ {m\over s}"
xMax1: (((v0^(2) * cos(alpha1)) * sin(alpha1))) / g
yMax1: y1(xMax1)
xMax2: (((v0^(2) * cos(alpha2)) * sin(alpha2))) / g
yMax2: y2(xMax2)
Max1: (xMax1, yMax1)
Max2: (xMax2, yMax2)
Text5: "\text{Max_2}=(" + (LaTeX[xMax2]) + "\vert" + (LaTeX[yMax2]) + ")\ m\cr"
Text4: "x_{G
} =" + (LaTeX[xG]) + "\ m"
bMax1 = false
bMax2 = false
bv1: true
bv2: true
bG = true
bX = false
Text6: "\text{Max_1}=( " + (LaTeX[xMax1]) + "\vert " + (LaTeX[yMax1]) + ")\ m"
a = false
Eingabefeld3 = Textfield(xAuf)
Text9: "" + (LaTeX[If[xAuf < xG, "x_{Auf}\ < x_G", If[xAuf ≟ xG, "x_{Auf}\ = x_G", "x_{Auf}\ > x_G"]]]) + "\cr" + (LaTeX[If[xAuf < xG, "\text{2 mögliche Wurfparabeln}", If[xAuf ≟ xG, "\text{1 mögliche Wurfparabel}", "\text{0 mögliche Wurfparabeln}"]]]) + ""