Re: [math-fun] 45º pessimal?
Didn't some young kid recently find a closed-form solution for the cannonball-in-the-atmosphere problem? At 05:45 PM 5/17/2017, Bill Gosper wrote:
Everybody knows that, in vacuo, 45º elevation maximizes projectile range. Trick question: Given our atmosphere, is the range maximized by > or < 45º? SPOILER. Baseball: <. Cannonball: >. Well, long long distance artillery anyway. The idea is to fly above the denser, low level atmosphere. This raises the interesting question: Are there projectile densities and energies for which the range improves for elevations both > and < 45º? --rwg
Are you thinking of Shouryya Ray? http://aperiodical.com/2012/05/has-schoolboy-genius-solved-problems-that-baf... On Thu, 18 May 2017 at 04:40 Henry Baker <hbaker1@pipeline.com> wrote:
Didn't some young kid recently find a closed-form solution for the cannonball-in-the-atmosphere problem?
At 05:45 PM 5/17/2017, Bill Gosper wrote:
Everybody knows that, in vacuo, 45º elevation maximizes projectile range. Trick question: Given our atmosphere, is the range maximized by > or < 45º? SPOILER. Baseball: <. Cannonball: >. Well, long long distance artillery anyway. The idea is to fly above the denser, low level atmosphere. This raises the interesting question: Are there projectile densities and energies for which the range improves for elevations both > and < 45º? --rwg
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
-
Christian Lawson-Perfect -
Henry Baker