# 抛体运动 - Projectile Motion

带空气阻力对比和实时轨迹可视化的交互式抛体运动模拟

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

- **分类:** Physics

## 概述

Interactive projectile motion simulation with air resistance comparison, target mode, and real-time trajectory visualization. Features equations: x = v₀cos(θ)t, y = v₀sin(θ)t - ½gt² (no resistance), and x'' = -kvx'/m, y'' = -g - kvy'/m (with air resistance). Adjustable parameters: initial velocity v₀ (10-100 m/s), launch angle θ (5-85°), initial height h₀ (0-50 m), gravity g (1.6-20 m/s²), air resistance coefficient k (0-0.5), mass m (0.1-10 kg), target distance and height. Visual displays include real-time projectile animation with trajectory trail and velocity vector, split-screen comparison mode (no drag vs with drag), velocity components chart (vx vs vy), height vs distance chart, and energy bar chart showing kinetic, potential, and total energy. Target mode allows setting custom target position and provides hit/miss feedback. Multi-language support (zh, en, es, fr, de, ru, pt).

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