f

f

S

Start

Ziel

Start

M

Koordinaten einblenden

S

t = 0 (slider from 0 to 12, step 0.1)
F_{L}: {If[0 < x ≤ 0.18, (5.45914 * x^(3)) - (0.17688 * x), 0], If[0.18 < x ≤ 3.25, (0.32008 * (3.25 - x)^(3)) + (0.01352 * (x - 0.18)^(3)) - (3.01672 * (3.25 - x)) + (6.3872 * (x - 0.18)), 0], If[3.25 < x ≤ 5.23, (0.02097 * (5.23 - x)^(3)) + (0.03834 * (x - 3.25)^(3)) + (10.01881 * (5.23 - x)) + (20.05172 * (x - 3.25)), 0], If[5.23 < x ≤ 7.1, (0.04059 * (7.1 - x)^(3)) - (0.02074 * (x - 5.23)^(3)) + (21.24842 * (7.1 - x)) + (32.1581 * (x - 5.23)), 0], If[7.1 < x ≤ 9.01, (-0.02031 * (9.01 - x)^(3)) - (0.01993 * (x - 7.1)^(3)) + (31.4877 * (9.01 - x)) + (41.95751 * (x - 7.1)), 0], If[9.01 < x ≤ 10.99, (-0.01922 * (10.99 - x)^(3)) + (0 * (x - 9.01)^(3)) + (40.4794 * (10.99 - x)) + (50.50505 * (x - 9.01)), 0]}
g_{0} = Sum(F_{L})
g(x) = If[x ≥ 0, (-0.00045 * x^(5)) + (0.018 * x^(4)) - (0.31 * x^(3)) + (2.6 * x^(2))]
F_{K}: {If[0 < x ≤ 0.18, (5.89399 * x^(3)) - (0.19097 * x), 0], If[0.18 < x ≤ 3.15, (0.35721 * (3.15 - x)^(3)) + (0.00569 * (x - 0.18)^(3)) - (3.15093 * (3.15 - x)) + (6.68378 * (x - 0.18)), 0], If[3.15 < x ≤ 5.12, (0.00858 * (5.12 - x)^(3)) + (0.02584 * (x - 3.15)^(3)) + (10.11897 * (5.12 - x)) + (20.20429 * (x - 3.15)), 0], If[5.12 < x ≤ 7.02, (0.02679 * (7.02 - x)^(3)) - (0.01476 * (x - 5.12)^(3)) + (20.95591 * (7.02 - x)) + (31.63223 * (x - 5.12)), 0], If[7.02 < x ≤ 8.96, (-0.01446 * (8.96 - x)^(3)) - (0.02614 * (x - 7.02)^(3)) + (30.98224 * (8.96 - x)) + (41.3355 * (x - 7.02)), 0], If[8.96 < x ≤ 10.99, (-0.02498 * (10.99 - x)^(3)) + (0 * (x - 8.96)^(3)) + (39.51181 * (10.99 - x)) + (49.26108 * (x - 8.96)), 0]}
k_{0} = Sum(F_{K})
k(x) = If[0 ≤ x ≤ 10.99, k_{0}(x)]
f1(x) = g'(x)
G = If(g(t) ≤ 100, (t | g(t)), (t | 100))
v_{G}: (f1(x(G)) * 3.6)
M = If(k(t) ≤ 100, (t | k(t)), (t | 100))
g1(x) = k'(x)
v_{M}: (g1(x(M)) * 3.6)
Text1: "" + v_{G} + ""
Text2: "" + v_{M} + ""
start = Segment((-1.5 | 0), (-1 | 0))
ziel = Segment((-1.5 | 100), (-1 | 100))
K = 1 (slider from -5 to 5, step 0.1)
gL: -2
gR: 13
gU: -20
gO: 110
zustand = 0
M2 = If(k(t) ≤ 100, (-1.5 | y(M)), (-1.5 | 100))
a = false
Text4: "M" + M + ""
Text3: "G" + G + ""
G2 = If(g(t) ≤ 100, (-1.25 | y(G)), (-1.25 | 100))