Gravity Acceleration Calculation

Gravity Acceleration Calculation
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2020-02-29 08:01
This example demonstrates calculating and visualizing the time required for an object to fall from a user-chosen height due to gravity. It involves core math concepts like gravitational acceleration, quadratic functions, time-height relationships, and coordinate geometry. GeoGebra commands/objects used include t (time), buttons (button1/2/3), and c/C/b/A/B/a/D/d/h/e/text1/2. Suitable for high school physics and math education, illustrating the connection between kinematic formulas and function graphs.

GeoGebra Commands & Parameters

  1. Numeric t(0)
  2. Numeric c(100)
  3. (0, c)
  4. Boolean b(true)
  5. (t, (-9.8 / 2 * t^(2)) + c)
  6. (sqrt(((2 * c)) / 9.8), 0)
  7. a(x) = If[0 ≤ x < sqrt(((2 * c)) / 9.8), ((-(9.8 / 2)) * x^(2)) + c]
  8. (0, y(A))
  9. x(B)
  10. (-9.8 / 2 * t^(2)) + 100
  11. y(A)