Projectile Trajectory Calculation

This project is a Python program that calculates the trajectory of a projectile based on its initial velocity and launch angle.

Calculation

The program uses the following equations to calculate the trajectory:

• x = v * cos(theta) * t : horizontal distance traveled
• y = v * sin(theta) * t - 0.5 * g * t^2 : vertical distance traveled
• t = 2 * v * sin(theta) / g : time of flight
• ymax = (v * sin(theta))^2 / (2 * g) : maximum height
• xmax = v^2 * sin(2 * theta) / g : maximum distance

where:

• x is the horizontal distance traveled by the projectile
• y is the vertical distance traveled by the projectile
• v is the initial velocity of the projectile
• theta is the launch angle of the projectile
• t is the time of flight of the projectile
• g is the acceleration due to gravity (9.81 m/s^2)
• ymax is the maximum height reached by the projectile
• xmax is the maximum distance reached by the projectile

Usage

To use the program, simply run the trajectory_calculation.py file in a Python environment:

python trajectory_calculation.py