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Types of trajectory equation. In addition to the above expression, there are other ways of expressing the trajectory of the motion of a body. Below, we show other types of position or trajectory equations: Parametric trajectory equations: Each of the coordinates is established as a function of time in the form x=x(t),y=y(t),z=z(t). For example ...
- Formulas
Contents; Exercises; Formulas Formulas worksheet. Here is a...
- Equations of Constant Velocity Motion
The constant velocity motion, also known as uniform...
- Exercises
The following graph of position-time ( x-t) corresponds to a...
- U.C.M
A body performs a uniform circular motion (u.c.m.) when its...
- Displacement
The graph shows the trajectory followed by a body over the...
- Impulse
Where: J →: It is the total impulse the body is subdued, the...
- Average Speed
Average speed is a scalar magnitude as opposed to average...
- Formulas
Furthermore, the trajectory is a ballistic motion. Besides, gravity is the force of significance that acts on the object. Trajectory Formula. The trajectory formula helps us to find the gravity that acted on an object. Also, the trajectory has vertical (y) and horizontal (x) position components.
To describe the motion of an object, you must first be able to describe its position (x): where it is at any particular time. More precisely, we need to specify its position relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described.
Projectile motion is a form of motion where an object moves in a parabolic path. 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).
A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously. The mass might be a projectile or a ...
By “height” we mean the altitude or vertical position y above the starting point. The highest point in any trajectory, called the apex, is reached when \(\displaystyle v_y=0\). Since we know the initial and final velocities as well as the initial position, we use the following equation to find \(\displaystyle y\):
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(a) By “height” we mean the altitude or vertical position y above the starting point. The highest point in any trajectory, called the apex, is reached when [latex]{v}_{y}=0.[/latex] Since we know the initial and final velocities, as well as the initial position, we use the following equation to find y:
