It was probably the clip of "the RAF's brand new fighter, the Tornado F2" taken at the Farnboro airshow in the 80s. Concorde came in for its fly past and 2 F2s 'intercepted' it, almost head on, then turned around and chased it. Their mighty Skyslugs were painted black for some reason.
I would have thought the F3 would have faster acceleration at low level than Concorde; and above 30k.......... perhaps not.