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Paper Wad Height Analysis

Paper Wad Height Analysis
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2014-11-04 01:05
FunctionCoordinate GeometryParametric Equation
This example demonstrates the height trajectory of three students shooting paper wads with a rubber band towards a trash can in the front of the room. It uses parabolic trajectories and parametric equations to analyze the motion. GeoGebra commands such as if, polygon, and tabletext are utilized, suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. If(gHt1 ≟ 0, 1, gHt1) → ga1
  2. If(fa ≟ 0, 1, fa) → fa1
  3. If(ConT ≟ 0, 1, ConT) → MaskTerm1
  4. Polygon((Edge, y(Corner[1])), Corner[2], Corner[3], (Edge, y(Corner[4]))) → Mask, a, b, c, d
  5. TableText({{x, gVertx - 3, gVertx - 1, gVertx, gVertx + 1}, {"y", gHt3, gHt2, gHt1, gHt2}}, "c|_") → MelissaTable
  6. Max({Vay, ConHt, gHt1}) → VHigh
  7. Min({Vay, ConHt, gHt1}) → VLow
  8. If(Vay > Max[gHt1, ConHt], Max[gHt1, ConHt], If[Vay < Min[gHt1, ConHt], Min[gHt1, ConHt], Vay]) → VMid
  9. If(Vay > gHt1, If[Vay > ConHt, 1, 3], If[gHt1 > ConHt, 2, 3]) → NameChoice