# 自由落体运动

重力作用下自由落体运动的交互式可视化

> 标准页面: https://elysiatools.com/zh/visualizations/free-fall-motion

- **分类:** Physics

## 概述

Interactive visualization of free fall motion under gravity with ball physics and energy conservation. Features kinematic equations: h(t) = h₀ - ½gt² + v₀t for height, v(t) = v₀ - gt for velocity, where g ≈ 9.8 m/s². Real-time visualization includes: (1) Main animation canvas showing ball falling vertically under gravity with motion trail and velocity indicator arrow, adjustable ground level and scaling; (2) Real-time data display panel showing current height (h), velocity (v), elapsed time (t), and gravitational acceleration (g); (3) Height vs Time chart displaying parabolic trajectory h(t) with current position marker; (4) Velocity vs Time chart showing linear relationship v(t) with current velocity indicator; (5) Energy conservation bars with three components: Potential Energy (mgh) shown as orange-yellow gradient bar, Kinetic Energy (½mv²) shown as green-blue gradient bar, and Total Energy (PE + KE) shown as purple-pink gradient bar, demonstrating energy conservation principle; (6) Interactive parameter controls: Initial height h₀ (10-200 m), Initial velocity v₀ (-50 to +50 m/s), and Mass m (0.1-10 kg); (7) Visualization options: Show Trail (position history), Show Grid (height scale lines), and Show Energy Bars; (8) Quick presets: Simple Drop (h₀=100m, v₀=0), Throw Up (h₀=50m, v₀=+20m/s), High Throw (h₀=80m, v₀=+30m/s, m=2kg), and Heavy Object (h₀=100m, v₀=+10m/s, m=5kg); (9) Animation controls: Start, Pause, and Reset buttons for motion control. Educational content covers gravitational acceleration, kinematic equations, energy transformations (potential to kinetic), conservation of mechanical energy, projectile motion principles, and real-world applications: skydiving (parachute deployment, terminal velocity), sports (basketball shots, javelin throws, diving), engineering (elevator design, amusement park rides), and space science (orbital mechanics). Physics formulas section includes: Height equation h(t) = h₀ - ½gt² + v₀t, Velocity equation v(t) = v₀ - gt, Potential Energy PE = mgh, Kinetic Energy KE = ½mv², and Total Energy E = PE + KE = constant. Multi-language support (en, fr, de, es, pt, ru, zh).

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