Free Fall with Marks and Final Position
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In collections
El dominio del Tiempo (cinemática intuitiva)
① This GeoGebra example dynamically simulates free fall motion, showing equally spaced time marks along the falling object's path and a final endpoint. ② Core mathematical concepts include uniformly accelerated linear motion, displacement-time relationship, velocity change, sequences (position series), and limits (final position). ③ Construction highlights: uses PointIn and Sequence commands to generate a series of marked points, sliders for time parameters (t0, t1, dt, tt), buttons (anima, reinicia, empieza) and boolean variables (para, verVectores) to control animation and vector display, plus text objects (texto1, texto2) for real-time data. ④ Suitable for high school physics or math classes to teach kinematics, sequences, and limits, as well as to demonstrate dynamic geometry and animation construction in GeoGebra.
GeoGebra Commands & Parameters
PointIn(x ≥ 0 ∧ y ≥ 0) → PSequence(Segment[(x(P), marca(k)), (x(P) + x(Corner[2] - Corner[1]) / 20, marca(k))], k, 1, Length[marca]) → marcasSequence(Text[("" * reg(k)) + "''", (x(P) + x(Corner[2] - Corner[1]) / 18, marca(k))], k, 1, Length[marca]) → marcasNSequence(Segment[(x(P), y(P) - (4.905 * k^(2))), (0, y(P) - (4.905 * k^(2)))], k, 1, Length[marca]) → marcasT
AI Drawing Prompt Reference
Draw a dynamic graph of free fall motion, including equally spaced time marks and final position. The graph contains a path of the falling object, with equally spaced time marks along the path, displaying time values. The final position of the falling object is also marked. The graph also includes sliders and buttons to control animation and vector display.
The prompt above was compiled from the original drawing commands and is for reference only.