Jet engined vehicles won't be very impressive in terms of initial acceleration, as there is no direct drive converting power into forward motion. Once rolling though, they will begin to build momentum in a much more linear fashion than a car or anything else with an internal combustion engine driving the wheels.
Remember the Top Gear race between a Bugatti Veyron and the RAF Typhoon? The Veyron pretty much trounced the Jet to about 100mph, but once the jet had got some momentum, it just buggered off…
This Video Shows what I mean… You can see the Bike manages to totally dominate off the line, the Porsche still beating the Jet to about 100mph convincingly though. Once speed (and friction, both from the air and from the tyres on the ground) increases, acceleration is influenced MUCH more by ultimate power than it is the power/weight ratio. The Bike dominates off the line cos it weighs bugger all and has a very high power to weight ratio, the Porsche eventually overtakes the bike at high speed cos of it having about 3 times the power despite weighing about 8 times as much. Obviously the Jet weighs many times what the car does, but it's also got a shitload more power! It'll carry on accelerating up to about Mach 2 or so in a reasonably linear fashion, mainly due to massive power output!