A projectile is any object that is launched or thrown into the air and moves along a curved path under the influence of gravity.
The formula for calculating the horizontal distance (also known as range) of a projectile is: R = v0 * t * cos(θ), where R is the horizontal distance, v0 is the initial velocity, t is the time of flight, and θ is the angle of launch.
The formula for calculating the time of flight of a projectile is: t = 2 * v0 * sin(θ) / g, where t is the time of flight, v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s2).
The factors that affect the trajectory of a projectile are the initial velocity, angle of launch, air resistance, and gravity. Other factors such as wind, air density, and spin can also have an impact on the trajectory.
The maximum height (also known as the peak height) of a projectile can be found using the formula: h = v02 * sin2(θ) / 2g, where h is the maximum height, v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.