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From: Physfitfreak <physfitfreak@gmail.com>
Newsgroups: comp.os.linux.advocacy,sci.physics
Subject: Re: A Problem To Solve :-)
Date: Mon, 1 Apr 2024 12:29:48 -0500
Organization: Modern Human
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On 4/1/24 05:13, Farley Flud wrote:
> On Sun, 31 Mar 2024 19:40:02 -0500, Physfitfreak wrote:
> 
>>
>> If the missile computes that 5 fighter jets at time t will exactly be at
>> these coordinates in the sky:
>>
>> Jet 1: (4.38 km, 3.9 km, 8.1 km)
>> Jet 2: (5.23 km, 9.61 km, 4.74 km)
>> Jet 3: (6.93 km, 6.01 km, 6.88 km)
>> Jet 4: (8.32 km, 2.12 km, 2.5 km)
>> Jet 5: (2.53 km, 4.23 km, 5.82 km)
>>
>> then answer the following 2 questions:
>>
>> 1- what would be the coordinates of the point in the sky, that the
>> missile with the weakest warhead needs to explode at, at time t, to
>> damage all those 5 fighter jets critically enough?
>>
>> 2- within what minimum radius of that explosion, any fighter jet would
>> get critically damaged at time t?
>>
> 
> AFAIK, this is a very difficult problem.'
> 
> But algorithms have recently been developed.  The best one is, of
> course, implemented in FOSS:
> 
> https://github.com/hbf/miniball
> 
> When I get some free time I may try it out.
> 
> 


Like most other math or physics problems, one can solve it in very 
difficult ways too :) Hehe :)

Question is, can you solve it by using nothing other than at most 
college algebra! No PDE's. No calculus. Just simple college algebra math.

This "Miniball" is interesting though :) But heck, I solved it myself 
two minutes before concocting the blog post. It took me about half an 
hour of looking into various approaches to it. That was half an hour of 
fun that rBrown (future rBowman, after his descendants become brown in 
the USA) doesn't understand and therefore does not enjoy.

I don't post anything in this blog for which per-written software would 
be required.