Solving the Projectile Motion Problem With Air Drag

AI Thread Summary
The discussion centers on solving a projectile motion problem that incorporates air drag, specifically where the drag force is proportional to the square of the speed. The key equation to derive is h = 1/2k*ln[1+(kv0^2/g)], which describes the maximum height reached by the projectile. Participants express confusion about forming the necessary differential equation and seek guidance on the initial steps. The mention of terms like "c1v" indicates a need for clarification on the forces acting on the projectile, including gravity and drag. Overall, the thread highlights the challenges of applying differential equations in mechanics without prior coursework.
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"?
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
View full post »

Similar threads

Analysis of the Ground Function: f(x) with $$f''(\bar{x})=0$$
Replies
6
Views
2K
Projectile Motion from a height with Air Resistance
Replies
1
Views
2K
Calculating velocity of a bullet with quadratic air drag
Replies
2
Views
4K
Projectile Motion with Air Drag
Replies
3
Views
1K
Varying Gravity and Air Resistance in projectile motion
Replies
7
Views
7K
Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
A remark on problem about trajectory of a projectile in the atmosphere
Replies
0
Views
161
Velocity of a football with and without drag
Replies
7
Views
2K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
2K
Help with drag coefficient calculated from ballistic coefficient
Replies
3
Views
7K

Hot Threads

Recent Insights

Back
Top