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Standard vector equations of motion in 2D

Standard vector equations of motion in 2D
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2020-05-31 08:53
VectorCoordinate GeometryParametric Equation
This example demonstrates the graphical representation of position, velocity, and displacement vectors in 2D projectile motion. Key math concepts include vectors, 2D coordinate geometry, parametric equations, and geometric transformations. The construction leverages GeoGebra commands like Intersect and Vector, along with objects such as O, B, v, t, g, P, r, A, u, V, v_{2}, a, b, c, f, d. It is suitable for high school and above students studying vector models of projectile motion, ideal for physics and mathematics education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, B) → v
  3. Vector(O, P) → r
  4. Vector(P, A) → u
  5. Vector(P, V) → v_{2}

AI Drawing Prompt Reference

Draw in a 2D coordinate system to represent displacement, velocity, and velocity change vectors in projectile motion. First, mark the intersection point of the x-axis and y-axis as the origin, then draw vectors from the origin representing initial velocity and total displacement, and from the current position, draw vectors representing velocity change and horizontal velocity to show the trajectory and vector relationships of the projectile motion.
The prompt above was compiled from the original drawing commands and is for reference only.