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Thanks for the information on RVSM (Reduced Vertical Separation Minimum), Yusef. At 2 hours 43 minutes into the flight the aircraft slowly climbed to 39,000 feet, taking 50 minutes to do so with speed increasing to approximately 440 knots. The aircraft was approximately 550 miles north of the WA coast at the time.
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That would approximate the handover from WIIF (Indonesian airspace) to YMMM (Australian airspace).
The change in ground speed would logically follow, at a higher altitude the most economical true airspeed is higher.