Horizontal Position Relationship with Sliders and Formulas

Horizontal Position Relationship with Sliders and Formulas
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2017-06-24 03:40
In collections Math Year 4 Unit 1
This example demonstrates the horizontal position relationship of an object using sliders and formulas. Key mathematical concepts include geometric distribution and solid geometry. Using GeoGebra commands such as W, hW, HorzW, Vy, Vx, FallT, Cart, DiverX, a, PositionCart, xPositionDiver, the dynamic movement of the object in the horizontal direction can be observed. Suitable for high school students studying solid geometry and optimization problems.

GeoGebra Commands & Parameters

  1. Numeric W(4.17)
  2. 57 + (50 * sin(((9 * W))°))
  3. (50 * cos(((9 * W))°))
  4. ((2.5 * π) * cos(((9 * W))°))
  5. ((-2.5 * π) * sin(((9 * W))°))
  6. ((-Vy) - sqrt(Vy^(2) + (64 * hW))) / -32
  7. -240 + (15 * (W + FallT))
  8. HorzW + (Vx * FallT)
  9. HorzW + (Vx * FallT)
  10. (Cart, 80)
  11. (DiverX, 80)

AI Drawing Prompt Reference

Create a dynamic visualization showing an object's horizontal position relationship using sliders and formulas. Demonstrate how the object's movement changes with different parameters, influenced by geometric distribution and solid geometry. Observe the object's position and trajectory as it moves, highlighting optimization problems in high school solid geometry studies.
The prompt above was compiled from the original drawing commands and is for reference only.