I just realized that the players were on a ship on the ground, just how far is the SAM away?
I tried out this situation: https://i.imgur.com/XpRIJe3.gifv SAM is fired at the same time that the ship (a to-scale 800 Dton sphere) launches. Units in meters. The ship can accelerate at 1g in vacuum, and the missile has a SAM-like flight profile, it has about 30 seconds worth of thrust.The ship launches at 1g, at 1.5s realizes it has been fired on and cuts power for 1s, hoping to confuse the guidance system on the missile or that the missile is unguided, and restarts with full power at 2.5s.Missile impact is at ~9.9 seconds.I tried a couple of variations on this, with the anti-tank-like performance profile, the missile can't hit the spacecraft unless it's launched from a very close distance (300 meters or so) or before the ship launches.
1g acceleration actually feels quite sluggish at this scale, compared to missile performance. If I can find performance information for the Russian S-400 SAM/anti-ballsitic-missile system, I'll put that together too and see if the ship can be threatened from a much further distance.