m/s²

km/h

Geschwindigkeit:

Bremsbeschleunigung

s

Reaktionszeit

Bremsweg (in m)

s_R = t_R v 

s_B =  \frac{ 1 }{ 2 a_B} v^2 

s = s_B + s_R

Geschwindigkeit (in km/h)

t_R = 1 (slider from 0 to 3, step 0.1)
f = Function(t_R x / 3.6, 0, 1000)
a_B = 5 (slider from 0 to 12, step 0.01)
s = Function(x^(2) / (25.92 a_B), 0, 1000)
g = Function(f(x) + s(x), 0, 1000)
v = 80 (slider from 0 to 160, step 1)
A: (v, g(v))
P: (x(A), 0)
Q: (0, y(A))
b = Segment(Q, A)
c = Segment(A, P)
T1: "s = " + (y(A)) + "m"
R: (3, y(A) + 5)
S: (x(A) + 3, 5)
T2: "v = " + v + "km/h"
h(x) = t_R x / 3.6 + x^(2) / (12.96 * 2 a_B)
X = (0, -20)
B = Point(s)
C = Point(f)
D = Intersect(s, c)
E = Intersect(f, c)
a = OrthogonalLine(D, yAxis)
d = OrthogonalLine(E, yAxis)
F = Intersect(a, yAxis)
G = Intersect(d, yAxis)
e = Segment(F, D)
i = Segment(E, G)
text5: "s_R = " + (y(F)) + "m"
text6: "s_B = " + (y(G)) + "m"