Date: 12 April 2013

Zeit (s)

Höhe(m)

Punkte sichtbar

g = 9.81
A = Point(yAxis)
h(t) = y(A) - (g / 2 * t^(2))
B, E = Intersect(h, xAxis)
hz = Function(h, 0, x(E))
dt = 0.5 (slider from 0 to 1, step 0.01)
A2 = 0
A3: A2 + dt
A4: A3 + dt
A5: A4 + dt
A6: A5 + dt
A7: A6 + dt
A8: A7 + dt
A9: A8 + dt
A10: A9 + dt
A11: A10 + dt
A12: A11 + dt
A13: A12 + dt
A14: A13 + dt
A15: A14 + dt
A16: A15 + dt
A17: A16 + dt
A18: A17 + dt
B2: h(A2)
a: y(A) = 105
B3: h(A3)
B4: h(A4)
B5: h(A5)
B6: h(A6)
B7: h(A7)
B8: h(A8)
B9: h(A9)
B10: h(A10)
B11: h(A11)
B12: h(A12)
B13: h(A13)
B14: h(A14)
B15: h(A15)
B16: h(A16)
B17: h(A17)
B18: h(A18)
C: (A3, B3)
D: (A4, B4)
F: (A5, B5)
G: (A6, B6)
H: (A7, B7)
I: (A8, B8)
J: (A9, B9)
K: (A10, B10)
L: (A11, B11)
M: (A12, B12)
N: (A13, B13)
O: (A14, B14)
P: (A15, B15)
Q: (A16, B16)
R: (A17, B17)
S: (A18, B18)
Liste1: {C, D, F, G, H, I, J, K, L, M, N, O, P, Q, R, S}
b = true
T = Intersect(h, hz, 1)
U = Intersect(h, hz, 1)
V = Intersect(h, hz, 1)
W = Intersect(h, hz, 1)
S_1 = Point(h)
S_2 = Point(h)
s = Line(S_1, S_2)
c = Slope(s)
d = OrthogonalLine(S_1, xAxis)
e = OrthogonalLine(S_2, xAxis)
Text1: "Mittlere Geschwindigkeit: " + c + " m/s"
f = OrthogonalLine(S_2, yAxis)
Text2: "\overline v = \frac {\Delta h} {\Delta t} = \frac {" + (LaTeX[y(S_2) - y(S_1)]) + " m } { " + (LaTeX[x(S_2) - x(S_1)]) + " s} = " + (LaTeX[(y(S_2) - y(S_1)) / (x(S_2) - x(S_1))]) + "\quad  m/s"