[ot][spam][crazy][crazy][spam]

[Karl Semich]

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parabola solving.

p(0) = x0,y0 = (0,0)
a(t) = 0,-g
v(0) = v0_x,v0_y

v(t) = v(0) + a(t) * t
v(t)_x = v0_x + a_x * t
v(t)_y = v0_y + a_y * t

p_y(t) = p_y(0) + integral(v_y(t),t,0,t)
p_x(t) = p_x(0) + integral(v_x(t),t,0,t)

integral(v_y(t),t,0,t) =
integral(v_0y + a_y * t) = v_0y + a_y t^2 / 2

integral(v_x(t),t,0,t) = v_0x + a_x t^2 / 2