* The acceleration due to gravity is constant. This means that the projectile's velocity will increase at a constant rate as it falls.

* The projectile's initial velocity is non-zero. This means that the projectile is already moving when it is launched.

* The projectile's trajectory is a parabola. This is because the projectile's acceleration is always pointed downwards, and its initial velocity is at an angle to the horizontal.

* The projectile's range is the horizontal distance it travels before it hits the ground. This depends on the projectile's initial velocity, the angle at which it is launched, and the acceleration due to gravity.

* The projectile's height is the maximum vertical distance it reaches before it falls back to the ground. This also depends on the projectile's initial velocity, the angle at which it is launched, and the acceleration due to gravity.

Applications of Projectile Motion

The principles of projectile motion are used in a variety of applications, including:

* Artillery: The trajectory of a projectile fired from a cannon is determined by the projectile's initial velocity, the angle at which it is fired, and the acceleration due to gravity.

* Rockets: The trajectory of a rocket is determined by the rocket's thrust, the angle at which it is launched, and the acceleration due to gravity.

* Sports: The principles of projectile motion are used in a variety of sports, such as baseball, basketball, and football.

* Video games: The principles of projectile motion are used to create realistic simulations of projectile motion in video games.