August 10th, 2017, 02:20 AM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 298 Thanks: 25 Math Focus: Number theory  Ball dynamics  lift, drag
The maximum distance traveled by a ball (without lift, drag or spin) is when it projects 45 degrees from a flat surface. What function of lift vs. drag (with the 45 degree angle of projection) would show the ball to travel that same distance? 
August 10th, 2017, 03:28 AM  #2 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,086 Thanks: 700 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
You'll never be able to get the same distance travelled by introducing air resistance unless you add some other force (e.g. by making the projectile a rocket). If you want to determine what that force should be be in order to get the situation back to the noresistance result, you're going to get a timedependent force that will depend on your air resistance prescription you choose. Since air resistance problems are very difficult to solve analytically, you'll probably have to resort to numerical solutions. 
August 10th, 2017, 10:23 AM  #3 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 298 Thanks: 25 Math Focus: Number theory 
Could just a little friction with considerable lift allow the ball to travel at least the original maximum distance?

August 10th, 2017, 04:07 PM  #4  
Senior Member Joined: Jun 2015 From: England Posts: 731 Thanks: 204  Quote:
https://www.google.co.uk/search?hl=e...26.0soT4Owl0AA  
August 11th, 2017, 02:29 AM  #5  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,086 Thanks: 700 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
Studiot's post is interesting, but I don't know if a projectile experiencing bottomspin in a medium would travel further than a projectile with no spin in a vacuum. The result would be interesting  
August 11th, 2017, 04:51 AM  #6  
Senior Member Joined: Jun 2015 From: England Posts: 731 Thanks: 204  Quote:
Compared to a no spin ball, Topspin lowers the vertex of the trajectory but lengthens its length. Backspin raises the vertex of the trajectory but shortens its length.  

Tags 
ball, drag, dynamics, lift 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Drag racers  shunya  Elementary Math  1  December 13th, 2015 04:43 AM 
calculations invloving drag  Kinroh  Physics  3  January 9th, 2015 07:42 PM 
Can you find a 4 ball contained in a 3 ball, with not equal?  xinglongdada  Real Analysis  3  June 8th, 2012 12:13 AM 
5 same red ball and 5 same white ball  cloudtifa  Advanced Statistics  0  October 18th, 2010 07:58 PM 
Drag force, analytical solution  ask2  Calculus  2  November 13th, 2009 03:08 AM 