Projectile motion with friction?

Click For Summary

Homework Help Overview

The discussion revolves around the effects of air resistance on projectile motion, specifically focusing on the angle of launch that would yield the highest range. Participants express uncertainty about the relationship between air resistance and projectile motion, with references to calculus and differential equations as part of the analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the nature of air resistance, questioning whether it is linear or quadratic in relation to velocity. There are attempts to formulate equations of motion, and some participants express confusion about the implications of these equations on the launch angle for maximum range.

Discussion Status

The conversation is ongoing, with various interpretations of the problem being explored. Some participants have offered equations and insights into the mathematical aspects, while others are questioning the appropriateness of the problem for those unfamiliar with calculus. There is no clear consensus on the best approach or solution at this stage.

Contextual Notes

Some participants note that the problem may not be suitable for those who have not yet learned about ordinary differential equations, raising concerns about the educational context in which this question was posed.

  • #31
Loup.

Here is a fairly good animation you can run.

"[URL
http://www.compadre.org/PSRC/items/detail.cfm?ID=7196

Click on Modular Approach to Physics: Projectile Motion: One Ball.

It will give you a good intuitive understanding of the problem.

I recommend making the grid, trace, and velocity visible with the buttons. Drag the end of the velocity arrow around keeping it at 100 m/s. Change the drag coefficient to 0.01[corrected] or the air drag will not be significant. In this applet the drag is proportional to v squared, as it should be, and if their language used in the applet is correct.
 
Last edited by a moderator:
Physics news on Phys.org
  • #32
!
I cannot open any of the animation!
:(
 
  • #33
Phrak, good find! But I think you meant 0.01 for the drag coef.

You can also enter numbers for the velocity and angle, but you must hit the "Enter" key for them to register.
 
  • #34
loup said:
!
I cannot open any of the animation!
:(

You may need to install java, if your computer does not already have it.
http://www.java.com/en/download/manual.jsp
 
Last edited by a moderator:
  • #35
Redbelly98 said:
Phrak, good find! But I think you meant 0.01 for the drag coef.

You can also enter numbers for the velocity and angle, but you must hit the "Enter" key for them to register.

Thanks on all points, Redbelly. I was much to critical of the software--it's excellent. The use of the energy key makes all the difference.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 15 ·
Replies
15
Views
26K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 18 ·
Replies
18
Views
5K