Simulation of Project in C++ile Motion Gaming Project in C++

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8 months ago

#include <iostream>
#include <cmath>
#include <iomanip>

const double GRAVITY = 9.81; // Acceleration due to gravity (m/s^2)

// Function to simulate projectile motion
void simulateProjectile(double velocity, double angle, double timeStep, int numSteps) {
    double angleRad = angle * M_PI / 180.0; // Convert angle to radians
    double initialX = 0.0; // Initial x position
    double initialY = 0.0; // Initial y position
    double velocityX = velocity * cos(angleRad); // Initial x velocity
    double velocityY = velocity * sin(angleRad); // Initial y velocity

    std::cout << "Time (s)\tX (m)\tY (m)\n";
    std::cout << std::fixed << std::setprecision(2);

    for (int step = 0; step <= numSteps; ++step) {
        double time = step * timeStep;
        double x = initialX + velocityX * time;
        double y = initialY + velocityY * time - 0.5 * GRAVITY * time * time;

        // Check if the projectile has hit the ground
        if (y < 0) {
            y = 0;
            std::cout << time << "\t" << x << "\t" << y << " (Ground)\n";
            break;
        }

        std::cout << time << "\t" << x << "\t" << y << "\n";
    }
}

int main() {
    double velocity, angle, timeStep;
    int numSteps;

    std::cout << "Enter the initial velocity (m/s): ";
    std::cin >> velocity;

    std::cout << "Enter the launch angle (degrees): ";
    std::cin >> angle;

    std::cout << "Enter the time step (s): ";
    std::cin >> timeStep;

    std::cout << "Enter the number of steps: ";
    std::cin >> numSteps;

    std::cout << "Projectile Motion Simulation\n";
    simulateProjectile(velocity, angle, timeStep, numSteps);

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip>

const double GRAVITY = 9.81; // Acceleration due to gravity (m/s^2)

// Function to simulate projectile motion

void simulateProjectile(double velocity, double angle, double timeStep, int numSteps) {

double angleRad = angle * M_PI / 180.0; // Convert angle to radians

double initialX = 0.0; // Initial x position

double initialY = 0.0; // Initial y position

double velocityX = velocity * cos(angleRad); // Initial x velocity

double velocityY = velocity * sin(angleRad); // Initial y velocity

std::cout << "Time (s)\tX (m)\tY (m)\n";

std::cout << std::fixed << std::setprecision(2);

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

double time = step * timeStep;

double x = initialX + velocityX * time;

double y = initialY + velocityY * time - 0.5 * GRAVITY * time * time;

// Check if the projectile has hit the ground

if (y < 0) {

y = 0;

std::cout << time << "\t" << x << "\t" << y << " (Ground)\n";

break;

}

std::cout << time << "\t" << x << "\t" << y << "\n";

}

int main() {

double velocity, angle, timeStep;

int numSteps;

std::cout << "Enter the initial velocity (m/s): ";

std::cin >> velocity;

std::cout << "Enter the launch angle (degrees): ";

std::cin >> angle;

std::cout << "Enter the time step (s): ";

std::cin >> timeStep;

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

std::cin >> numSteps;

std::cout << "Projectile Motion Simulation\n";

simulateProjectile(velocity, angle, timeStep, numSteps);

return 0;

}

Explanation

Constants:
- GRAVITY: The acceleration due to gravity (9.81 m/s²).
Function simulateProjectile(double velocity, double angle, double timeStep, int numSteps)

:
- Purpose: Simulates the trajectory of a projectile.
- Parameters:
  - velocity: Initial velocity of the projectile (m/s).
  - angle: Launch angle of the projectile (degrees).
  - timeStep: Time interval between each step of the simulation (s).
  - numSteps: Number of time steps to simulate.
- Implementation:
  - Converts the launch angle from degrees to radians.
  - Calculates the initial x and y components of velocity.
  - Computes and prints the position of the projectile at each time step.
  - Stops the simulation if the projectile hits the ground (y < 0).
Main Function:
- Setup: Prompts the user for the initial velocity, launch angle, time step, and number of steps.
- Simulation: Calls simulateProjectile to compute and display the projectile’s trajectory.

Usage

Projectile Motion Simulation: Provides a visual representation of a projectile’s trajectory based on its initial velocity and launch angle.
Trajectory Analysis: Helps understand how different parameters affect the motion of a projectile.

Explanation

Usage

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