[Aaron_A]

I have no real opinion on this - though my first thought when I heard this last year was that it must have been shot down. Here are a few pics that might be helpful...though I don't think any of these planes are cleared to fire AIM-9s.

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The C-38 replaces two C-21A transports currently operated by the 201st Air National Guard based at Andrews AFB, Md. It holds 11 passengers and crew, is primarily for operational support and distinguished visitor transport and can be configured for medical evacuation and general cargo duties.

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C-21

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[Maximum Leader]

What are the civilian designations of the C-21 and C-38?

The details of this article a bit confusing. The only combat aircraft with rear engines is an A-10... and though they fly low, you couldn't get it to be go supersonic unless you strapped it to a Saturn V rocket.

This all begs the question, why would the government lie about a shootdown when (as someone mentioned above), there are too many potential eyewitnesses to contradict the story?

[thegreatbeast]

I don't know what happened. But unless you supply the exact details of the picture it means nothing and shows nothing. It is just a picture.
If you have a screaming plane over your head from out of nowhere you will see it first because it is travelling faster than sound. If there is a plane crash immediately after the sighting then that sound may be lost amongst all the other stimuli. Likely? No, but certainly possible.
I'm real tired of government deceit though.

[Oztrich Boy]

Given the "not an executive jet" claim, here's a better candidate. Although i don't believe the story either, just like posting pics of obscure aircraft (and still think the Skyfox conversion of the T-33 made a lot of sense)

Boeing Skyfox