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From: Jim Pennino <jimp@gonzo.specsol.net>
Newsgroups: comp.os.linux.advocacy,sci.physics
Subject: Re: A Problem To Solve :-)
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Date: Mon, 1 Apr 2024 13:06:28 -0700
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In sci.physics Physfitfreak <physfitfreak@gmail.com> wrote:
> On 3/31/24 19:40, Physfitfreak wrote:
>> 
>> 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 maximum radius of that explosion, any fighter jet would 
>> get critically damaged at time t?
>> 
> 
> 
> The slight modification of time t in the statement of the problem to 
> shut up smart aleck dickheads about latency in arrival of explosion 
> effect, would be this:
> 
> 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 
> -delta), to damage all those 5 fighter jets critically enough, by the 
> time t?

Unless all the aircraft were within a radius of a about a hundred
meters and the missile warhead was nuclear with a yield of around 30 kt,
there is no solution.

FYI the largest nuclear warhead on an anti-aircraft missle had a yield
of 28 kt.

> 2- within what maximum radius of that explosion, any fighter jet would 
> get critically damaged by the time t?

If the missile had about a 30 kt nuclear warhead, then any aircraft
within about a little over 100 meters of detenation would be destroyed.

If the aircraft was more than a little over 100 meters from detenation,
then any aircraft heading toward the detenation would be destroyed and
aircraft heading away from the detenation would be essentially
undamaged, though the crew would likely die from radiation some time
after finishing their mission.

> 
> Delta is the time required for damaging effects of the explosion to 
> reach all five jet fighters by the time t. It is determined by the 
> missile's own software and is not part of this problem.

The above is utter gibberish.

You have no clue on how any of this works.

FYI the only anti-aircraft missiles ever designed to take out more than
one target at a time had a nuclear warhead.

FYI the shock waves of conventional explosives and nuclear explosives
both travel at roughly MACH 1.

FYI fighters have been capable of exceeding MACH 1 since the 1950's and
thus can outrun an explosive shockwave of any kind if they are going away
from the detenation point at the time of detenation.

FYI the maximum radius of a 30 kt nuclear warhead fire ball is about
100 meters.

FYI missiles with conventional warheads are designed to detenate within
a very close range of the target, i.e. a few feet, or actual contact.

Like I said, you have no clue on how any of this works.