waz
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Its a ramjet powered missile. Had it been a Mach 5 missile throughout its trajectory, it would not have been possible with lighter version. At Mach-5 you are more or less in domain of SCRAMjet because RAMjet by itself starts getting inefficient. Most likely, you have a Mach 2 missile which accelarates to Mach 5 during terminal dive phase as it flies high. A Mach 2 object flying high make a very good target for potent israeli Air Defence systems like Barak-8 deployed by India on its warships.
Ramjat's are most effective at Mach 3, but can go up to mach 6...However above mach 5 the engine becomes inefficient.
Here's a good piece on China's work in the ramjet field.
China ramjet progress
China continues to move toward fielding one or more designs of rocket/ramjet-powered air-to-air missiles, with local scientific-press reports of further recent flight tests: but missile speed, rather than the speed of progress, is – for now – a point of uncertainty.
www.iiss.org
You're also wrong about it being light, hence is unable to reach such speeds. The Revolutionary Approach to Time-critical Long Range Strike, or RATTLRS, system was a primarily air launched missile from aircraft which was light. It's operating speed was over mach 3 and mach 4 version was on the cards, this was as far back as 2007....It was cancelled in the end.
Your details about how a missile travelling at mach 3 plus, which can be easily shot down by the Barak-8 is full of boasting and bluster, much of it unproven. It's only real time test was an embarrassing failure in the 2006 Lebanon conflict, although not the air interceptor but the deterrence against anti-ship missiles. This was also a Chinese C-802 that struck home.