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Key Points: Range, Symmetry, Maximum Height
Projectile motion is a form of motion where an object moves in parabolic path. The path that the object follows is called its trajectory.
Learning Objective

Construct a model of projectile motion by including time of flight, maximum height, and range
Key Points
 Objects that are projected from and land on the same horizontal surface will have a path symmetric about a vertical line through a point at the maximum height of the projectile.
 The time it takes from an object to be projected and land is called the time of flight. It depends on the initial velocity of the projectile and the angle of projection.
 The maximum height of the projectile is when the projectile reaches zero vertical velocity. From this point the vertical component of the velocity vector will point downwards.
 The horizontal displacement of the projectile is called the range of the projectile and depends on the initial velocity of the object.
 If an object is projected at the same initial speed, but two complementary angles of projection, the range of the projectile will be the same.
Terms

gravity
Resultant force on Earth's surface, of the attraction by the Earth's masses, and the centrifugal pseudoforce caused by the Earth's rotation.

trajectory
The path of a body as it travels through space.

bilateral symmetry
the property of being symmetrical about a vertical plane
Full Text
What is Projectile Motion?
Projectile motion is a form of motion where an object moves in a bilaterally symmetrical, parabolic path. The path that the object follows is called its trajectory. Projectile motion only occurs when there is one force applied at the beginning on the trajectory, after which the only interference is from gravity. In this atom we are going to discuss what the various components of an object in projectile motion are, we will discuss the basic equations that go along with them in another atom, "Basic Equations and Parabolic Path"
Key Components of Projectile Motion:
Time of Flight, T:
The time of flight of a projectile motion is exactly what it sounds like. It is the time from when the object is projected to the time it reaches the surface. The time of flight depends on the initial velocity of the object and the angle of the projection,
Symmetry:
All projectile motion happens in a bilaterally symmetrical path, as long as the point of projection and return occur along the same horizontal surface. Bilateral symmetry means that the motion is symmetrical in the vertical plane. If you were to draw a straight vertical line from the maximum height of the trajectory, it would mirror itself along this line.
Maximum Height, H:
The maximum height of a object in a projectile trajectory occurs when the vertical component of velocity,
Range of the Projectile, R:
The range of the projectile is the displacement in the horizontal direction. There is no acceleration in this direction since gravity only acts vertically. shows the line of range. Like time of flight and maximum height, the range of the projectile is a function of initial speed.
Range
The range of a projectile motion, as seen in this image, is independent of the forces of gravity.
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Key Term Reference
 Component
 Appears in these related concepts: Adding and Subtracting Vectors Using Components, Position, Velocity, and Acceleration as a Function of Time, and Cathode Ray Tube, TV and Computer Monitors, and the Oscilloscope
 acceleration
 Appears in these related concepts: Centripetial Acceleration, Position, Displacement, Velocity, and Acceleration as Vectors, and Scientific Applications of Quadratic Functions
 atom
 Appears in these related concepts: Description of the Hydrogen Atom, Stable Isotopes, and Overview of Atomic Structure
 displacement
 Appears in these related concepts: Calculus with Parametric Curves, Reference Frames and Displacement, and Introduction to Human Language
 equation
 Appears in these related concepts: Equations and Inequalities, Graphs of Equations as Graphs of Solutions, and What is an Equation?
 force
 Appears in these related concepts: Driven Oscillations and Resonance, First Condition, and Force of Muscle Contraction
 interference
 Appears in these related concepts: Holography, Thin Film Interference, and Superposition and Interference
 land
 Appears in these related concepts: XRay Diffraction, Using Interference to Read CDs and DVDs, and Basic Equations and Parabolic Path
 motion
 Appears in these related concepts: Motion Diagrams, TwoComponent Forces, and Moving Source
 plane
 Appears in these related concepts: Shape and Volume, Shape, and Introduction to The Four Fundamental Spaces
 symmetrical
 Appears in these related concepts: Effects of Time Dilation: The Twin Paradox and the Decay of the Muon, General Launch Angle, and Solving Problems
 symmetry
 Appears in these related concepts: Symmetry of Functions, Compositional Balance, and Rhythm
 vector
 Appears in these related concepts: Vectors for Genomic Cloning and Sequencing, Dipole Moments, and Multiplying Vectors by a Scalar
 velocity
 Appears in these related concepts: Force, Average Velocity: A Graphical Interpretation, and Velocity of Blood Flow
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Cite This Source
Source: Boundless. “Key Points: Range, Symmetry, Maximum Height.” Boundless Physics. Boundless, 16 Sep. 2016. Retrieved 30 Sep. 2016 from https://www.boundless.com/physics/textbooks/boundlessphysicstextbook/twodimensionalkinematics3/projectilemotion42/keypointsrangesymmetrymaximumheight23011284/