balról-jobbra

jobbról-balra

<i>v</i>

<i>v_x</i>

<i>v_y</i>

\mathit v_0 \; [m/s]

\mathit h \; [m]

\mathit t \; [s]

\mathit {Δt} \; [s]

sebességek

pf = 90
bj = true
jb = false
g = 9.81
v_0 = 8 (slider from 2 to 15, step 0.1)
h = 6 (slider from 2 to 10, step 1)
t = 0 (slider from 0 to sqrt((2 * h / g)), step Δt)
y_{max} = 12.5
x_{max} = 22
x_{min} = 1
y_{min} = 0.5
f(x) = If[0 ≤ ((bj - jb) * x) ≤ (v_0 * sqrt((2 * h / g))), h - ((g * (((bj - jb) * x))^(2))) / ((2 * v_0^(2)))]
y_P: h - (g * t^(2) / 2)
x_P: ((v_0 * t) * (bj - jb))
P: (x_P, y_P)
k_v = 0.2
v_y: (g * t)
vv = Vector(P, (x(P) + (((bj - jb) * k_v) * v_0), y(P) - (k_v * v_y)))
vv_x = Vector(P, (x(P) + (((bj - jb) * k_v) * v_0), y(P)))
vv_y = Vector(P, (x(P), y(P) - (k_v * v_y)))
P_x: (0, y(P))
P_y: (x(P), 0)
a = Segment(P, P_x)
b = Segment(P, P_y)
c = Segment((x(P), y(P) - (k_v * v_y)), (x(P) + (((bj - jb) * k_v) * v_0), y(P) - (k_v * v_y)))
d = Segment((x(P) + (((bj - jb) * k_v) * v_0), y(P)), (x(P) + (((bj - jb) * k_v) * v_0), y(P) - (k_v * v_y)))
Δt = 0.0761189047848647 (slider from sqrt((2 * h / g)) / 100 to sqrt((2 * h / g)) / 5, step sqrt((2 * h / g)) / 100)
e, j = panelfentr1(pf)
i = true
nyily = PolyLine((((-5) * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])), y(Corner[3]) - (pf * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])) - (5 * (y(Corner[3]) - y(Corner[1])) / y(Corner[5]))), (0, y(Corner[3]) - (pf * (y(Corner[3]) - y(Corner[1])) / y(Corner[5]))), ((5 * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])), y(Corner[3]) - (pf * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])) - (5 * (y(Corner[3]) - y(Corner[1])) / y(Corner[5]))))
tfy = Text("y [m]", ((5 * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])), y(Corner[3]) - (pf * (y(Corner[3]) - y(Corner[1])) / y(Corner[5])) - (24 * (y(Corner[3]) - y(Corner[1])) / y(Corner[5]))))
szöveg1_1: "\mathit x=" + (LaTeX[x_P]) + "  \; m"
szöveg2: "\mathit y=" + (LaTeX[y_P]) + " \; m"

Tool: panelfentr1
szám
Input: n
Output: poligon1, t

poligon1 = AttachCopyToView(Polygon[(0, 0), (1, 0), (1, 1), (0, 1)], 1, (0, 0), (1, 1), (0, 0), (x(Corner[5]), n))
A, B, C, D = Vertex(poligon1)
t = Segment(C, D)