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Baseball Game Finished

Baseball Game Finished
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2019-09-14 15:21
VectorFunctionParametric Equation
This example demonstrates a baseball game process using one slider variable t. Key mathematical concepts include vectors, functions, and parametric equations. Using GeoGebra commands such as Cone, If, eq1, eq2, n, a, a_2, a_3, C, B, V, W, U, O, P, the trajectory of the baseball can be dynamically shown. Suitable for high school and above students to learn coordinate geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Cone((18.41, 1.06, 1.09), (0.02, 1.4, 1.78), 1) → a, a_2, a_3
  2. If(0 ≤ t ≤ 0.91, ((22.2 * cos(t - 1.68)) + 2.5, (4.3 * sin(t - 1.68)) + 5, (-2 * sin(t - 1.68)))) → C
  3. If(0.91 < t ≤ 1.82, ((22.2 * cos(t - 2.59)) + 2.5, (-4.3 * sin(t - 2.59)) - 3, (-2 * sin(t - 2.59)))) → B
  4. If(1.82 < t ≤ 2.73, ((22.72 * cos(t - 3.5)) + 2.5, (-1.41 * sin(t - 3.5)), (-2.8 * sin(t - 3.5)) - 1)) → V
  5. If(2.73 ≤ t ≤ 4.66, ((-12.15 * (t - 3.69)) + 6.75, (8.79 * (t - 3.69)) + 9.5, (-7.5 * (t - 3.69)^(2)) + 8)) → W
  6. If((20 * 4.66) < n ≤ 151.7, (((-(n - 92.8))) / 8 - 4.99, 18 + (n - 92.8) / 12, (abs(sin((n - 92.8) / π) / ((n - 92.8 + 3) / ((2 * π)))) * 4))) → U
  7. If(7.59 < t ≤ 8.59, (-12.35, 22.91, (1.46 * (t - 7.59)) + 0.04)) → O
  8. If(8.59 < t ≤ 9.59, ((-11.85 * ((-t) + 8.59)) - 12.35, (22.41 * ((-t) + 8.59)) + 22.91, (-10 * (t - 8.59)^(2)) + (10 * (t - 8.59)) + 1.5)) → P

AI Drawing Prompt Reference

Draw a baseball game process with a slider variable t to dynamically show the baseball's trajectory. First, draw a cone as the background, then use piecewise functions to plot the flight path of the baseball, including the ascent, descent, and final landing.
The prompt above was compiled from the original drawing commands and is for reference only.