Projectile motion is the motion of an object through the air or in a vacuum under the influence of gravity. It is a combination of horizontal (constant velocity) and vertical (constant acceleration) motion.
The range formula for projectile motion is R = (v2sin2θ)/g, where R is the range, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.
The range formula is derived by considering the horizontal and vertical components of motion separately and using equations of motion to relate them. By setting the displacement in the horizontal direction equal to the displacement in the vertical direction, we can solve for the range formula.
The range of a projectile is affected by the initial velocity, the angle of launch, and the acceleration due to gravity. Air resistance and wind can also have an impact on the range.
No, the range of a projectile is limited by the acceleration due to gravity and the initial velocity. Even if the angle of launch is 90 degrees, the object will eventually fall back down due to the force of gravity.