t-s-Diagramm

t in min

s in km

120771

SGDK

A1: 0
B1: 0
A2: 15
B2: 10
A3: 25
B3: 27
A4: 35
B4: 33
A5: 45
B5: 48
A6: 55
B6: 51
A7: 65
B7: 55
A8: 75
B8: 64
A9: 85
B9: 65
A: (A1, B1)
B: (A2, B2)
C: (A3, B3)
D: (A4, B4)
E: (A5, B5)
F: (A6, B6)
G: (A7, B7)
H: (A8, B8)
I: (A9, B9)
Liste1: {A, B, C, D, E, F, G, H, I}
f = Spline(Liste1, 3)
P = Point(f)
g = Tangent(P, f)
a = Slope(g)
kmh: (a * 60)
N = (42.365606618778095, 14.3007727014552)
O = (64.68416116599927, 30.223951969063275)
c = Circle(N, O)
m = Line(O, N)
Q, R = Intersect(c, m)
s = true
h = OrthogonalLine(O, xAxis)
i = OrthogonalLine(N, h)
J = Intersect(h, i)
j = Segment(O, J)
k = Segment(N, J)
v: j / k
v2: (v * 60)
Text6: "v = " + (LaTeX[v]) + " \frac{\text{km}}{\text{min}} =" + (LaTeX[v2]) + "\frac{\text{km}}{\text{h}}"
Text2: "Δs = " + j + " km"
Text1: "Δt = " + k + " min"