AnimG 标志AnimG

Projectile Motion

受众: High School类别: Physics

简介

A projectile launched at an angle is decomposed into horizontal (constant velocity) and vertical (uniformly accelerated) components. The parabolic path is animated with a moving dot and changing velocity vector. Parametric equations are displayed.

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Projectile Motion

Description

A projectile launched at an angle is decomposed into horizontal (constant velocity) and vertical (uniformly accelerated) components. The parabolic path is animated with a moving dot and changing velocity vector. Parametric equations are displayed.

Phases

# Phase Name Duration Description
1 Setup & Equations 2s Axes appear with kinematic equations
2 Component Vectors 2s Horizontal and vertical component arrows appear
3 Launch Animation 4s Dot follows parabolic path with velocity vector
4 Vector Decomposition 2s vx stays constant, vy changes
5 Summary 1.5s Path traced, max height and range labeled

Layout

+--------------------------------------------------+
|  Projectile Motion                               |
|                                                  |
|         •  vx→          vx→                     |
|        /↑vy              ↓vy                    |
|       /           path arc                       |
|  ────/─────────────────────────→ x               |
|  ↑y  θ                                           |
|                                                  |
|  x = v₀cosθ·t     y = v₀sinθ·t - ½gt²          |
+--------------------------------------------------+

Area Descriptions

  • Main area: coordinate axes with parabolic path
  • Equations at bottom

Assets & Dependencies

  • Fonts: LaTeX / sans-serif
  • Manim version: ManimCE 0.19.1

Notes

  • High school level
  • Blue = horizontal component, Red = vertical component
  • Use ValueTracker for synchronized animation