trajectory

Examples of trajectory in the following topics:

• Key Points: Range, Symmetry, Maximum Height

  • The path that the object follows is called its trajectory.
  • 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.
  • If you were to draw a straight vertical line from the maximum height of the trajectory, it would mirror itself along this line.
  • The maximum height of a object in a projectile trajectory occurs when the vertical component of velocity, $v_y$, equals zero.

• Defining Kinematics

  • To describe motion, kinematics studies the trajectories of points, lines and other geometric objects, as well as their differential properties (such as velocity and acceleration).
  • The study of kinematics can be abstracted into purely mathematical expressions, which can be used to calculate various aspects of motion such as velocity, acceleration, displacement, time, and trajectory.
  • Kinematic equations can be used to calculate the trajectory of particles or objects.

• Basic Equations and Parabolic Path

  • Projectile motion is a form of motion where an object moves in parabolic path; the path that the object follows is called its trajectory.
  • 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.
  • Assess the effect of angle and velocity on the trajectory of the projectile; derive maximum height using displacement

• Zero Launch Angle

  • The path followed by the object is called its trajectory.
  • Projectile motion occurs when a force is applied at the beginning of the trajectory for the launch (after this the projectile is subject only to the gravity).
  • One of the key components of the projectile motion, and the trajectory it follows, is the initial launch angle.

• The Physics of Bremsstrahlung

  • If we ignore the effect of radiation reaction of the trajectory of the charged particle, we can solve for its path exactly (at least in the classical limit) and then use the formulae for the radiation field that we derived a few weeks back.
  • We will approximate the exact trajectories shown in the left-hand panel of Fig.~1 by a simple straight line trajectory in which the acceleration of the particle lies mainly normal to the direction of the particle's motion.
  • First is to estimate at what impact parameter does the trajectory strongly differ from a straight line, so $\Delta v \sim v$, we get
  • The left panel gives the exact trajectory excluding radiation reaction, and the right panel shows how we will approximate the trajectory

• The Wave Function

  • This figure shows some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A-B) and quantum mechanics (C-H).
  • The trajectories C-F are examples of standing waves, or "stationary states. " Each standing-wave frequency is proportional to a possible energy level of the oscillator.

• Motion Diagrams

  • is a motion diagram of a simple trajectory.
  • Notice that the puck covers the same distance per unit interval along the trajectory.

• General Launch Angle

  • The path that the object follows is called its trajectory.
  • Projectile motion only occurs when there is one force applied at the beginning of the trajectory, after which the only interference is from gravity.
  • One of the key components of projectile motion and the trajectory that it follows is the initial launch angle.
  • Now that we understand how the launch angle plays a major role in many other components of the trajectory of an object in projectile motion, we can apply that knowledge to making an object land where we want it.

• Solving Problems

  • In projectile motion, an object moves in parabolic path; the path the object follows is called its trajectory.
  • The path that the object follows is called its trajectory.
  • Projectile motion only occurs when there is one force applied at the beginning, after which the only influence on the trajectory is that of gravity.

• Constant Acceleration

  • The object is called a projectile, and its path is called its trajectory.
  • The $x$ and $y$ motions can be recombined to give the total velocity at any given point on the trajectory.