THE FALLING LADDER

Drag Me!

Length of ladder =

Height of wall =

What does it feel like at the top of a ladder (F)
 as the bottom (D) starts to slide away?

If the base slides at a steady rate, 
do you also fall steadily? 
If not, then when are you falling fastest?

Can you build an algebraic model
 to describe this situation?

Position of base (AD) = 

6

Height when overhanging (GF) = 

Height when leaning (G'A) = 

C = (6, 8)
B = (12, 4)
A = (6, 4)
b = Segment(A, C)
I = Point(b)
a = Segment(A, B)
D = Point(a)
e = Circle(D, 6)
G_1, H = Intersect(e, b)
k = Segment(G_1, I)
l = Segment(A, D)
h = Ray(B, A)
c = Ray(D, C)
E = Point(c)
d = Ray(C, E)
G = Intersect(e, d)
i = OrthogonalLine(G, h)
F = Intersect(i, h)
j = Segment(G, F)
f = Segment(G, D)
g = Segment(G_1, D)
W: (l, j)
Q: (l, k)
J = (9.24439461883408, 3.0100806451612896)
u = Vector(J, D)
T7: b + ""
K = (5, 4)
L = (12.5, 4)
M = (12.5, 3)
N = (5, 3)
P, k_1, l_1, m, n = Polygon(K, L, M, N)
O = Point(k_1)
R = (5.368609865470852, 8.016129032258064)
S, a_1, o, r, c_1 = Polygon(A, O, R, C)
T10: l + ""
p: y(W)
T12: j + ""
T13: k + ""