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Projectile Motion Simulation by ksherida

Projectile Motion Simulation by ksherida
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2012-05-16 03:20
VectorFunctionTrigonometry
This example simulates projectile motion where students can choose the final distance to observe how the initial velocity changes. Key mathematical concepts include parabolic trajectories and vectors. GeoGebra commands used include Point, Line, Function, Angle, and Polygon. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Point({0, 0}) → w
  2. Point({2, 0}) → v
  3. Line(w, v) → a
  4. Point(a) → A
  5. Point({s_x, s_y}) → P
  6. Function(tan(angle * π / 180) * x - 32.15 / (2 * v_0^(2) * cos(angle * π / 180)^(2)) * x^(2), 0, s_xend) → j
  7. Point({2, 2 * tan(angle * π / 180)}) → u
  8. Angle(v, w, u) → α
  9. Point({-3, 0}) → b
  10. Point({-2, 0}) → c
  11. Point({-3, v_0 / 8}) → d
  12. Point({-2, v_0 / 8}) → f
  13. Polygon(c, f, d, b) → poly1, c_1, f_1, d_1, b_1