Will, you still need to know more about the system. Effective shutter speed would help. Even at that distance a 500MPH object would take a fast shutter to stop without blur (and shear if a digital camera). If the camera managed to grab a frame while the jet was in frame the "What it should look like" image would show a nasty smear instead of a jet. I need more coffee before doing the math but I bet you're up for it. 
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There are a vast number of people who are uninformed and heavily propagandized, but fundamentally decent. The propaganda that inundates them is effective when unchallenged, but much of it goes only skin deep. If they can be brought to raise questions and apply their decent instincts and basic intelligence, many people quickly escape the confines of the doctrinal system and are willing to do something to help others who are really suffering and oppressed." -Manufacturing Consent: Noam Chomsky and the Media, p. 195
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