Projectile Mechanics: 3-D List for Researching

In summary, to calculate the trajectory of a projectile in three dimensions, one must use the equations of motion and consider factors such as initial velocity, angle of launch, and acceleration due to gravity. This will give the position, velocity, and acceleration of the projectile at any given time. The trajectory is also affected by air resistance and external forces. The range of a projectile can be calculated using the range equation, which takes into account the initial velocity, angle of launch, and acceleration due to gravity. The range and maximum height of a projectile will be different and depend on the initial conditions. Projectile motion in three dimensions is more complex than in two dimensions and requires a deeper understanding of mechanics.
  • #1
michaelknight
5
0
Does anybody know where I could find a list of 3-D mechanics of a projectile? I would greatly appreciate it :). Thank you very much in advance :)
 
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  • #2
michaelknight said:
Does anybody know where I could find a list of 3-D mechanics of a projectile? I would greatly appreciate it :). Thank you very much in advance :)

A projectile's trajectory can always be defined in 2D.
 
  • #3
The simplest way to do so is to project the 3D motion on a 2D plane. You can also resolve it into its components, but that can get a little tricky.
 

1. How can I calculate the trajectory of a projectile in three dimensions?

To calculate the trajectory of a projectile in three dimensions, you will need to use the equations of motion, taking into account the initial velocity, angle of launch, and acceleration due to gravity. This will give you the position, velocity, and acceleration of the projectile at any given time.

2. What factors affect the trajectory of a projectile in three dimensions?

The trajectory of a projectile in three dimensions is affected by several factors, including the initial velocity, angle of launch, air resistance, and any external forces acting on the projectile such as wind or gravity.

3. Can you explain how to calculate the range of a projectile in three dimensions?

To calculate the range of a projectile in three dimensions, you will need to use the range equation, which takes into account the initial velocity, angle of launch, and acceleration due to gravity. This will give you the horizontal distance the projectile will travel before hitting the ground.

4. What is the difference between a projectile's range and its maximum height?

The range of a projectile is the horizontal distance it travels before hitting the ground, while the maximum height is the highest point the projectile reaches in its trajectory. These values will be different depending on the initial velocity and angle of launch.

5. How is projectile motion in three dimensions different from projectile motion in two dimensions?

In two dimensions, projectile motion is only affected by the initial velocity and angle of launch, while in three dimensions, it is affected by additional factors such as air resistance and external forces. Calculating the trajectory in three dimensions requires more complex equations and a deeper understanding of mechanics.

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