/Applications/MAMP/htdocs/o-mathe-lokal/content/3_integralrechnung/1_integral/1_bestandsrekonstruktion/2_bewegungen/1_lernstrecke/2_position/bahnfahrt

t

s(t)[km]

v(t)[km/h]

B

O

Flächen

Kontrolle

v(t) = If[0 ≤ t < 1.75, 120, If[1.75 ≤ t < 2, 0, If[2 ≤ t < 3.5, -90, If[3.5 ≤ t < 4, 0, If[4 ≤ t ≤ 5, 60]]]]]
zeitintervall = Segment((0 | 0), (5 | 0))
T = Point(zeitintervall)
s(t) = If[0 ≤ t < 1.75, (120 * t), If[1.75 ≤ t < 2, 210, If[2 ≤ t < 3.5, (-90 * (t - 2)) + 210, If[3.5 ≤ t < 4, 75, If[4 ≤ t ≤ 5, (60 * (t - 4)) + 75]]]]]
l1: {(0 | 0)}
o = Integral(v, 0, x(T))
A = Point(yAxis)
B = (1.75, 210)
C = (2, 210)
D = (3.5, 75)
E = (4, 75)
F = (5, 135)
j = Segment(A, B)
b = Segment(B, C)
h_1 = Segment(C, D)
i_1 = Segment(D, E)
j_1 = Segment(E, F)
x0: x(T)
V1, f, g, h, i = Polygon((0 | 0), (x0 | 0), (x0 | v(x0)), (0 | v(x0)))
V2, k, l, m, n, p = Polygon((0 | 0), (x0 | 0), (1.75 | 0), (1.75 | 120), (0 | 120))
V3, q, r, t, a, c, d, e, f_1 = Polygon((0 | 0), (2 | 0), (2 | -90), (x0 | -90), (x0 | 0), (1.75 | 0), (1.75 | 120), (0 | 120))
V4, g_1, k_1, l_1, m_1, n_1, p_1, q_1, r_1, s_1 = Polygon((0 | 0), (2 | 0), (2 | -90), (3.5 | -90), (3.5 | 0), (x0 | 0), (1.75 | 0), (1.75 | 120), (0 | 120))
V5 = Polygon({(0 | 0), (2 | 0), (2 | -90), (3.5 | -90), (3.5 | 0), (x0 | 0), (x0 | 60), (4 | 60), (1.75 | 0), (1.75 | 120), (0 | 120)})
V6, t_1, a_1, b_1, c_1, d_1, e_1, f_2, g_2, h_2, i_2, j_2, k_2 = Polygon((0 | 0), (2 | 0), (2 | -90), (3.5 | -90), (3.5 | 0), (x0 | 0), (x0 | 60), (4 | 60), (4 | 0), (1.75 | 0), (1.75 | 120), (0 | 120))
v1 = If(0 ≤ x0 ≤ 1.75, V1, If[1.75 < x0 ≤ 2, V2, If[2 < x0 ≤ 3.5, V3, If[3.5 < x0 ≤ 4, V4, If[4 < x0 ≤ 5, V6]]]])
u = false
w = true
DPunkt: (x0 | s(x0))