Does Air Resistance Alter Optimal Projectile Launch Angles?

In summary, the optimal angle for range when launching a projectile is 45 degrees. Adding air resistance does not change this angle, but it can affect the projectile's motion depending on factors such as air density and velocity. The optimal projection can vary depending on how air resistance is modeled.
  • #1
rdavis47
2
0
We all know that 45 degrees is the optimal angle for range when launcing a projectile:

Does this angle change when adding air resistance?

If you know the answer please respond,

If you don't, please go away

rydogg
 
Physics news on Phys.org
  • #2
No. Air resistance slows you in all directions.

But if you are doing something like launching from a higher or lower ground, then it changes.
 
  • #3
In reality it is more complicated than that. Air density changes with height, the higher you fly, the less resistance you meet. Thus the projectile doesn't flow in the constant conditions, which is especially important when targeting far objects (like 30 km range).
 
  • #4
Depends on how you model the air resistance... while it will be acting both vertical and horizontal, it's frequently modeled as being velocity dependent. With air resistence, the velocity in both directions will be changing... so you get fun equations to solve along both directions for the ultimate motion of the projectile. Also -- what do you mean by "optimal projection"? Furthest distance? greatest height?
 

Related to Does Air Resistance Alter Optimal Projectile Launch Angles?

1. What is classical mechanics?

Classical mechanics is a branch of physics that studies the motion of objects and the forces that act upon them. It is based on the laws of motion and gravitation developed by Sir Isaac Newton in the 17th century.

2. What are the main principles of classical mechanics?

The main principles of classical mechanics include Newton's three laws of motion, the law of universal gravitation, and the principle of conservation of energy and momentum.

3. How is classical mechanics different from quantum mechanics?

Classical mechanics deals with the behavior of macroscopic objects, while quantum mechanics deals with the behavior of subatomic particles. Classical mechanics is deterministic, meaning that it can predict the exact future state of a system, while quantum mechanics is probabilistic, meaning that it can only predict the probability of a particle's future state.

4. What are some real-world applications of classical mechanics?

Classical mechanics is used in many fields, including engineering, astronomy, and sports. It is used to design structures, predict the motion of planets and other celestial bodies, and analyze the trajectory of objects in sports such as baseball and golf.

5. Can classical mechanics be applied to all systems?

No, classical mechanics has its limitations and does not apply to systems that are extremely small (such as subatomic particles) or extremely fast (such as particles moving at the speed of light). In these cases, quantum mechanics and relativity must be used instead.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
341
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
2K
Replies
4
Views
885
Replies
4
Views
1K
Replies
11
Views
1K
  • Calculus
Replies
16
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
21K
  • Electromagnetism
Replies
2
Views
1K
Back
Top