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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 vertically symmetrical path.

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. At this point gravity will take over and accelerate the object downward.

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 different 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, θ. When the point of projection and point of return are on the same horizontal plane, the net vertical displacement of the object is zero.
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, v_{y}, equals zero. As the projectile moves upwards it goes against gravity, and therefore the velocity begins to decelerate. Eventually the vertical velocity will reach zero, and the projectile is accelerated downward under gravity immediately. shows a diagram of where the projectile will reach its maximum height, and then begin to accelerate downward. This is also the point where you would draw a vertical line of symmetry.
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.
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Key Term Reference
 Component
 Appears in this 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 this related concepts: Centripetial Acceleration, Position, Displacement, Velocity, and Acceleration as Vectors, and Applications and ProblemSolving
 atom
 Appears in this related concepts: Early Ideas about Atoms, Stable Isotopes, and John Dalton and Atomic Theory
 diagram
 Appears in this related concepts: Motion Diagrams, Power, and Bohr Orbits
 displacement
 Appears in this related concepts: Calculus with Parametric Curves, Reference Frames and Displacement, and Interference
 equation
 Appears in this related concepts: A General Approach, Equations and Inequalities, and Equations and Their Solutions
 force
 Appears in this related concepts: Work Done by a Variable Force, Driven Oscillations and Resonance, and Glancing Collisions
 interference
 Appears in this related concepts: Interference and Diffraction, Holography, and Superposition and Interference
 land
 Appears in this related concepts: XRay Diffraction, Using Interference to Read CDs and DVDs, and Basic Equations and Parabolic Path
 motion
 Appears in this related concepts: TwoComponent Forces, Time, and Moving Source
 plane
 Appears in this related concepts: Shape and Volume, Center of Mass and Translational Motion, and Shape
 symmetrical
 Appears in this related concepts: Effects of Time Dilation: The Twin Paradox and the Decay of the Muon, General Launch Angle, and Separation of Variables
 symmetry
 Appears in this related concepts: Curve Sketching, Balance, and Rhythm
 velocity
 Appears in this related concepts: RootMeanSquare Speed, Arc Length and Speed, and Tangent and Velocity Problems
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Cite This Source
Source: Boundless. “Key Points: Range, Symmetry, Maximum Height.” Boundless Physics. Boundless, 12 Dec. 2014. Retrieved 23 Apr. 2015 from https://www.boundless.com/physics/textbooks/boundlessphysicstextbook/twodimensionalkinematics3/projectilemotion42/keypointsrangesymmetrymaximumheight23011284/