Projectile Motion Simulator

A beautiful and interactive Python application to simulate projectile motion with real-time graphical visualization.

Features

• Interactive GUI: Modern, clean interface with attractive fonts and colors
• Real-time Animation: Watch the projectile follow its trajectory in real-time
• Comprehensive Results: Displays maximum height, time of flight, and range
• Customizable Parameters: Adjust initial velocity, angle, and gravitational acceleration
• Visual Feedback: Animated graph showing the complete projectile path

Installation

1. Install Python dependencies:

pip install -r requirements.txt

Usage

Run the simulator:

python projectile_simulator.py

How to Use

1. Enter Parameters:

   • Initial Velocity (m/s): The starting speed of the projectile
   • Angle of Projection (°): Launch angle between 0 and 90 degrees
   • Gravitational Acceleration (m/s²): Default is 9.8 for Earth

2. Click "Calculate & Simulate": The application will:

   • Calculate the maximum height
   • Calculate the time of flight
   • Calculate the range
   • Animate the projectile motion in real-time

3. Click "Reset": Clear all inputs and start fresh

Physics Formulas Used

• Time of Flight: T = (2 × v × sin(θ)) / g
• Maximum Height: H = (v² × sin²(θ)) / (2g)
• Range: R = (v² × sin(2θ)) / g
• Trajectory: x(t) = v × cos(θ) × t, y(t) = v × sin(θ) × t - 0.5 × g × t²

Requirements

• Python 3.7+
• tkinter (usually comes with Python)
• matplotlib
• numpy

Screenshots

The application features:

• Clean, modern UI with professional color scheme
• Real-time animated trajectory
• Clear display of calculated results
• Easy-to-use input controls