Projectile Motion Simulation (Euler’s Method)

This is a simple project where I simulated projectile motion in Python using the semi-implicit Euler method.
The idea was to model a particle moving under gravity, see how the trajectory looks, and make an animation to visualize it.

Animation at dt = 0.1s

Features

• Simulates 2D projectile motion using basic physics
• Implements the semi-implicit Euler method for numerical integration
• Static trajectory plot with Matplotlib
• Animated motion using FuncAnimation
• Particle class that keeps the motion logic clean and reusable

How it Works

1. Define the initial position, velocity, and acceleration of the particle
2. Update velocity and position step by step with Euler’s method at each small time interval dt
3. Collect the trajectory points while the particle is in motion
4. Visualize the results:
   • Static plot of the trajectory
   • Animated simulation of the motion

(Here the simulation uses a time step of dt = 0.1 for updating the motion.
Smaller dt values make the simulation more accurate but slower, while larger values make it faster but less precise.)

What I Learned

• How to write and use classes in Python
• Working with Matplotlib for both plots and animations
• Basics of numerical simulation with Euler’s method
• How physics equations can be turned into actual code