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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

bilateral symmetry
the property of being symmetrical about a vertical plane

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

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.
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.
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, Wavelength, Freqency in Relation to Speed, and Rotational Collisions
 acceleration
 Appears in these related concepts: Centripetial Acceleration, Position, Displacement, Velocity, and Acceleration as Vectors, and Graphical Interpretation
 atom
 Appears in these related concepts: The Law of Multiple Proportions, Stable Isotopes, and John Dalton and Atomic Theory
 diagram
 Appears in these related concepts: Motion Diagrams, The Third Law, and Power
 displacement
 Appears in these related concepts: Reference Frames and Displacement, Interference, and Introduction to Human Language
 equation
 Appears in these related concepts: A General Approach, Equations and Inequalities, and Equations and Their Solutions
 force
 Appears in these related concepts: Work, Force, and Force of Muscle Contraction
 interference
 Appears in these related concepts: Holography, Diffraction, and The Michelson Interferometer
 land
 Appears in these related concepts: XRay Diffraction, Relative Velocity, and Using Interference to Read CDs and DVDs
 motion
 Appears in these related concepts: Motion with Constant Acceleration, Newton and His Laws, and Mechanical Work and Electrical Energy
 plane
 Appears in these related concepts: Scalars vs. Vectors, Shape and Volume, and Shape
 symmetrical
 Appears in these related concepts: Effects of Time Dilation: The Twin Paradox and the Decay of the Muon, General Launch Angle, and Basic Equations and Parabolic Path
 symmetry
 Appears in these related concepts: Curve Sketching, Rhythm, and The Third Law: Symmetry in Forces
 velocity
 Appears in these related concepts: Rolling Without Slipping, RootMeanSquare Speed, and Applications and ProblemSolving
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Source: Boundless. “Key Points: Range, Symmetry, Maximum Height.” Boundless Physics. Boundless, 21 Jul. 2015. Retrieved 07 Oct. 2015 from https://www.boundless.com/physics/textbooks/boundlessphysicstextbook/twodimensionalkinematics3/projectilemotion42/keypointsrangesymmetrymaximumheight23011284/