Vertical Motion Simulation

Vertical Motion Simulation
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2015-09-25 14:23
This example demonstrates the trajectory of an object under vertical motion under gravity, allowing users to observe changes by adjusting initial velocity and height. Core mathematical concepts include quadratic functions, parabolas, kinematic formulas, and analytical geometry. Construction highlights are derived from GeoGebra commands: objects t (time), v_0 (initial velocity), h_0 (initial height), h (height), Scale_x (x-axis scaling), Scale_h (height scaling), A (parameter), text1 (text), g (graphics), i (iteration), a (parameter), text2 (text), text3 (text), text3_1 (text). Suitable for high school physics and mathematics courses, visualizing projectile motion principles.

GeoGebra Commands & Parameters

  1. Numeric t(0.0)
  2. Numeric v_0(80.0)
  3. Numeric h_0(84.0)
  4. h(x) = (-16 * x^(2)) + (v_0 * x) + h_0
  5. Numeric Scale_x(2.0)
  6. Numeric Scale_h(18.0)
  7. (t, h(t))
  8. g(x) = If[x < 0,h(x)]
  9. i(x) = If[x ≥ 0,h(x)]
  10. h(t)