What is projectile motion?
Projectile motion- the motion observed when bodies are projected into the air and are under the influence and under the influence of gravity (and air resistance) only- acceleration is constant at –9.81 m/s/s
Projectile- a body undergoing projectile motion; it can be an object, a person, or both.
What is gravity and air resistance?
Gravity- the attraction influence that pulls an object to its surface. It uniformly accelerates a projectile towards the earth’s surface at –9.81 m/s/s.
Air resistance- limits the motion of a particle. Compared to gravity, it’s often minimal/negligible, so it is often neglected.
What are the key features of projectile motion?
Trajectory- flight path of a projectile through the air
Parabola- trajectory follows a ‘parabolic’ curved shape that’s symmetrical about its apex
Apex- highest point reached by a projectile
Range- horizontal displacement of projectile
What is projection angle?
The angle at release determines the shape of the trajectory, all other factors being equal
A positive angle is >= 0, 0 degrees = horizontal trajectory, 90 degrees = vertical trajectory (follows a straight up and down line), a negative angle is < 0 (not considered projectile motion)
0-90 degrees = oblique trajectory, parabolic shape, symmetrical about the apex
Projection angle influences the relative magnitude of vertical and horizontal velocity components
If no projection height, there’s no flight
At 45-degree projection angle, horizontal and vertical components are equal
0-45 degrees have greater horizontal component than vertical component
What is projection velocity?
Projection velocity determines the height and range of a projectile, all other factors being equal
Vertical velocity determines height and time of flight
Horizontal velocity determines range
What is projection height?
Projection height is the relative difference in height between release and landing; it’s the vertical displacement between the point of release and landing
Projection height = 0, height at release is the same as landing; symmetrical, parabolic trajectory
Not all projectiles land at the same height they were released from
Projection height > 0, height at release is above landing
Projection height < 0, height at release is below landing
Projection height not equal to zero is still parabolic, just not symmetrical
Maximum range is produced with a release angle of 45 degrees when projection height = 0
What categories can the goals of projectile motion be considered to fall within?
Predicting trajectory (catching/receiving an object, batting/striking an object)
Controlling trajectory (tennis serve, somersaulting, passing/shooting an object)
Maximising/optimising aspects of trajectory (high/long/triple jump, throwing events for distance)