Projectile motion

• Projectiles are objects that move through space under the influence of gravity alone, with no other forces acting on them except air resistance.
• A projectile's vertical displacement can be calculated using the formula y = v0y * t - (1/2)g*t^2
• A projectile's horizontal displacement can be calculated using the formula x = v0x * t + (1/2)axt^2
• The path followed by a projectile is called its trajectory or flight path.
• A projectile's path can be described using two equations: one for x-coordinate (horizontal) and another for y-coordinate (vertical).
• The angle between the horizontal axis and the initial velocity vector is called the launch angle.
• The gravitational force affects the vertical motion of a projectile.
• The angle of projection determines the range of a projectile.
• The mass of the projectile does not affect its horizontal or vertical motion.
• The horizontal distance traveled by a projectile is equal to its initial velocity multiplied by time.
• The maximum height reached by a projectile is determined by the equation hmax = (v0x)^2 / (2g)
• The total distance traveled by a projectile is equal to the sum of its horizontal and vertical distances traveled.
• The time taken to reach the highest point of a projectile's path is called its time of ascent.
• To find the maximum height reached by a projectile, set the derivative of the equation to zero and solve for time.
• The angle at which a projectile is launched determines how far it travels horizontally and vertically.
• The minimum distance between two points along an object's path is called its perigee.
• Time of flight is defined as the total amount of time it takes for an object to travel from start to finish.
• The maximum height reached by a projectile is called its apogee.
• The time it takes for an object to reach maximum height or velocity is called the flight time.
• The range of a projectile is the horizontal distance it travels from its starting point to where it lands.
• If an object is launched at an angle greater than 45 degrees above the horizontal, it will travel farther horizontally than vertically.
• If a projectile is fired horizontally from a height h above the ground, it will travel a distance equal to twice the height before hitting the ground.
• The maximum height reached by a projectile depends on its initial speed, but not its mass.
• Maximum height is reached when the acceleration due to gravity equals zero, which occurs at the highest point on the parabolic curve.
• Projectiles follow parabolic paths due to gravity acting on them.
• Projectiles follow parabolic paths when launched at an angle with respect to the ground.
• Range is defined as the distance traveled horizontally from the point of release to where the object lands.
• When an object is launched at an angle less than 45 degrees below the horizontal, it will travel farther vertically than horizontally.
• The velocity vector has both magnitude and direction, while the speed only has magnitude.
• The acceleration due to gravity, g, is constant on Earth but varies on other planets.
• The horizontal displacement of a projectile can be calculated using xf = v0x * t
• Physics 12: Newton's law of motion
• Newton's third law states that when two objects interact with one another, they exert equal and opposite forces on each other.
• Newton's second law states that the net force acting on an object equals the mass times the acceleration (Fnet = ma).
• In physics, there are three types of force: contact force (push or pull), non-contact force (gravity), and friction.
• Instantaneous velocity is the average velocity over a very short time interval.
• Average acceleration is found by dividing the change in velocity by the time it takes to occur.
• Speed is the magnitude of velocity.
• Projectiles follow parabolic paths.
• Acceleration due to gravity is constant at 9.8 m/s^2.