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.

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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

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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

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Assets & Dependencies

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

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Notes

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