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Displacement and Distance in Linear Motion

Displacement and Distance in Linear Motion
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2015-10-31 21:10
FunctionCalculusDerivative
This example demonstrates the linear motion of a point based on a given function and time interval. By calculating displacement and distance, understand the point's trajectory. Utilizes functions, slider animation, and derivatives in GeoGebra. Suitable for high school calculus and motion problems.

GeoGebra Commands & Parameters

  1. Textfield(f_i) → InputBox_f
  2. Textfield(a) → InputBox_a
  3. Textfield(b) → InputBox_b
  4. Derivative(f) → f'
  5. Max(Join[{Sequence[y(Element[maxpts, i]), i, 1, Dimension[maxpts]]}]) → ymax_{g1}
  6. Min(Join[{Sequence[y(Element[minpts, i]), i, 1, Dimension[minpts]]}]) → ymin_{g1}
  7. Integral(abs(f'(x)), a, c) → distance
  8. Textfield(Δx) → InputBox_{Δx}