Simulation of Particle Motion Gaming Project in C++

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3 months ago

#include <iostream>
#include <iomanip> // For std::fixed and std::setprecision

// Structure to represent a particle
struct Particle {
    double x;       // Position in x (meters)
    double y;       // Position in y (meters)
    double vx;      // Velocity in x direction (meters/second)
    double vy;      // Velocity in y direction (meters/second)
    double ax;      // Acceleration in x direction (meters/second^2)
    double ay;      // Acceleration in y direction (meters/second^2)
};

// Function to update the particle's position and velocity using Euler's method
void updateParticle(Particle& particle, double dt) {
    particle.vx += particle.ax * dt;
    particle.vy += particle.ay * dt;
    particle.x += particle.vx * dt;
    particle.y += particle.vy * dt;
}

int main() {
    Particle particle;
    double dt; // Time step for simulation
    int steps; // Number of simulation steps

    // Input initial conditions
    std::cout << "Enter the initial x position of the particle (meters): ";
    std::cin >> particle.x;
    std::cout << "Enter the initial y position of the particle (meters): ";
    std::cin >> particle.y;
    std::cout << "Enter the initial velocity in x direction (meters/second): ";
    std::cin >> particle.vx;
    std::cout << "Enter the initial velocity in y direction (meters/second): ";
    std::cin >> particle.vy;
    std::cout << "Enter the acceleration in x direction (meters/second^2): ";
    std::cin >> particle.ax;
    std::cout << "Enter the acceleration in y direction (meters/second^2): ";
    std::cin >> particle.ay;

    std::cout << "Enter the time step for the simulation (seconds): ";
    std::cin >> dt;
    std::cout << "Enter the number of simulation steps: ";
    std::cin >> steps;

    // Simulation loop
    std::cout << "Step\tX Position\tY Position" << std::endl;
    for (int step = 0; step <= steps; ++step) {
        std::cout << step << "\t"
                  << std::fixed << std::setprecision(2) << particle.x << "\t"
                  << std::fixed << std::setprecision(2) << particle.y << std::endl;
        updateParticle(particle, dt);
    }

    return 0;
}

#include <iostream>

#include <iomanip> // For std::fixed and std::setprecision

// Structure to represent a particle

struct Particle {

double x; // Position in x (meters)

double y; // Position in y (meters)

double vx; // Velocity in x direction (meters/second)

double vy; // Velocity in y direction (meters/second)

double ax; // Acceleration in x direction (meters/second^2)

double ay; // Acceleration in y direction (meters/second^2)

};

// Function to update the particle's position and velocity using Euler's method

void updateParticle(Particle& particle, double dt) {

particle.vx += particle.ax * dt;

particle.vy += particle.ay * dt;

particle.x += particle.vx * dt;

particle.y += particle.vy * dt;

}

int main() {

Particle particle;

double dt; // Time step for simulation

int steps; // Number of simulation steps

// Input initial conditions

std::cout << "Enter the initial x position of the particle (meters): ";

std::cin >> particle.x;

std::cout << "Enter the initial y position of the particle (meters): ";

std::cin >> particle.y;

std::cout << "Enter the initial velocity in x direction (meters/second): ";

std::cin >> particle.vx;

std::cout << "Enter the initial velocity in y direction (meters/second): ";

std::cin >> particle.vy;

std::cout << "Enter the acceleration in x direction (meters/second^2): ";

std::cin >> particle.ax;

std::cout << "Enter the acceleration in y direction (meters/second^2): ";

std::cin >> particle.ay;

std::cout << "Enter the time step for the simulation (seconds): ";

std::cin >> dt;

std::cout << "Enter the number of simulation steps: ";

std::cin >> steps;

// Simulation loop

std::cout << "Step\tX Position\tY Position" << std::endl;

for (int step = 0; step <= steps; ++step) {

std::cout << step << "\t"

<< std::fixed << std::setprecision(2) << particle.x << "\t"

<< std::fixed << std::setprecision(2) << particle.y << std::endl;

updateParticle(particle, dt);

}

return 0;

}

Explanation:

Headers and Structure:
- Includes iostream for input and output operations and iomanip
  
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  for formatting.
- Defines the Particle structure with x, y for position, vx
  
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  , vy for velocity, and ax, ay for acceleration.
updateParticle Function:
- Updates the particle’s velocity based on its acceleration (ax, ay) and time step (dt).
- Updates the particle’s position based on its velocity and the time step.
main Function:
- Prompts the user to input the particle’s initial position, velocity, acceleration, time step, and number of simulation steps.
- Runs a simulation loop where it updates the particle’s state and prints its position at each step.

Explanation:

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