Projectile motion from a cliff is a type of motion where an object is thrown or launched from a high point, such as a cliff, and moves through the air under the influence of gravity. This motion follows a curved path known as a parabola.
The factors that affect projectile motion from a cliff include the initial velocity of the object, the angle at which it is launched, the mass of the object, and the force of gravity.
The angle of launch determines the path of the projectile. The steeper the angle, the higher the projectile will travel and the shorter the horizontal distance it will cover. A lower angle will result in a longer horizontal distance but a lower height.
The velocity of the projectile can be calculated using the formula v = v₀ + gt, where v is the final velocity, v₀ is the initial velocity, g is the acceleration due to gravity, and t is the time elapsed. This formula takes into account the vertical and horizontal components of the velocity.
The range, or horizontal distance, of the projectile can be calculated using the formula R = v₀²sin(2θ)/g, where R is the range, v₀ is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. This formula takes into account the initial velocity and angle of launch to determine how far the projectile will travel horizontally before hitting the ground.