Solving the Projectile Motion Problem With Air Drag

Click For Summary

Homework Help Overview

The problem involves analyzing the motion of a projectile subject to air drag that varies with the square of its speed. The original poster presents a specific equation for the height reached by the projectile and seeks guidance on how to approach the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses confusion about how to begin solving the problem and asks for pointers. Other participants inquire about the formulation of the differential equation related to the motion and question specific terms used in the equations.

Discussion Status

The discussion is ongoing, with participants exploring the formulation of the differential equation and clarifying terminology. There is no explicit consensus yet, but questions are being raised that may lead to a deeper understanding of the problem.

Contextual Notes

The original poster mentions a lack of formal education in differential equations, indicating a self-directed learning approach in the context of their mechanics course.

Varnson
Messages
23
Reaction score
0

Homework Statement


A projectile with mass m is fired upward with an initial speed v0. If the air drag varies with the square of speed F(v)=-kmv2 show that the projectile reaches a height of
h=1/2k*ln[1+(kv0^2/g)]



Homework Equations


F0+F(v) = mv(dv/dx)


The Attempt at a Solution


I am a little confused on how to get started and tackle this problem! Any pointers? Thanks for the help!
 
Physics news on Phys.org
Were you able to get the differential equation?
 
I was not able to get the diff. eq. I have not had any diff. eq. classes yet, so I am teaching myself as I go along in my mechanics course. Would it be ma=-mg-c1v?
 
What is "c1v"?
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
7K
Replies
40
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
9K