Connecting Position, Velocity, and Acceleration
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AP Calculus AB Applet Collection
This example demonstrates the dynamic relationship between position, velocity, and acceleration functions, visualizing their changes in the coordinate system. Core math concepts include derivatives (velocity as the derivative of position, acceleration as the derivative of velocity), function graphing, parametric equations, and vector representation. Construction highlights include using GeoGebra commands like Vector, tlist, s, t, v, olds, oldt, tm, oldv, a, AV, VV for dynamic illustration. Suitable for high school and above students studying calculus, physics kinematics, or mathematical modeling.
GeoGebra Commands & Parameters
Vector((0, -1), (a / 10, -1)) → AVVector((0, 1), (v, 1)) → VV