Cannister looks similar to the prs1m missile tests as part of the A135/235 systems. Close up footage dies make the acceleration seen next level. Could be sped up or just an effect of angle.
Well, it basically is - AFAIK just an upgrade of the 53T6 quick-reaction ABM deployed around Moscow for decades, they are tested at regular intervals of about two launches per year (a successor designated 45T6 was supposed to be under development, but no idea if this is it already).
Yes, it is that fast
On the other hand it obviously posed monumental challenges in missile acceleration and speed requirements though - a RV moving at about 3km/s at such low altitude is literally moments away from a successful airburst detonation, so everything needs to happen incredibly fast. The interceptor not only needs to have a formidable top speed (reportedly in the Mach 10 to 12 range), it also has to waste as little time as possible getting up to that speed.
Interestingly enough, 53T6 is NOT actually a Sprint-ski in configuration (though they're both conical in shape for good aerodynamics). Sprint was a two-stage missile with aerodynamic control surfaces, 53T6 is single-stage with an unpowered terminal "dart" (you could call it a kill vehicle, but it has a warhead - originally nuclear, in fact) and divert thrusters for control. So more like the later US UpSTAGE experiment in some respects (the UpSTAGE terminal dart was a non-axisymmetric lifting body though).