Zeit in Min

Weg in km

Geschwindigkeit in km/h

Zeit in Min

f = Function(If[0 < x ≤ 10, 0.6 * x, If[10 < x < 34, 5.5 / 3 * x - 37 / 3, If[34 ≤ x ≤ 46, 50, If[46 < x ≤ 58, 2 * x - 42, If[x > 58, 0.5 * x + 45, 0]]]]], 0, 70)
A = Point(f)
B: (0, y(A))
g(x) = 60 * f'(x)
p = Function(g, 0, 70)
C: (x(A), p(x(A)))
F: (x(A), 0)
a = Segment(A, F)
G: (x(C), 0)
b = Segment(C, G)
h = Function(f, 0, 70)
H: (10, p(10))
I: (10.01, p(10.01))
J: (33.99, p(33.99))
K: (34, p(34))
L: (46, p(46))
M: (46.01, p(46.01))
N: (58, p(58))
O: (58.01, p(58.01))
P: (70, p(70))
d = Segment(I, H)
e = Segment(J, K)
i = Segment(M, L)
j = Segment(N, O)
E: (2.8, y(A) - 1.2)
D: (-2.8, y(A) - 1.2)