Velocity vector of trajectories in 3D
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This example demonstrates the velocity vectors of trajectories in three-dimensional space. It involves core mathematical concepts such as vectors, derivatives, parametric equations, and coordinate geometry. The construction uses GeoGebra commands like CurveCartesian for plotting the trajectory, Derivative for calculating the velocity vector, and Vector for representing the vector. Suitable for high school and above students to learn and understand calculus, vector analysis, and 3D geometry.
GeoGebra Commands & Parameters
CurveCartesian(((8 * t), (10 * t), 5 - (5.9 * t^(2))), t, 0, 2) → fDerivative(f) → f'Vector(f(t), f(t) + f'(t)) → g