IRL you just leave 2 second gap between you and the car in front or more if you have inclement weather...
Sorted.
SUVAT wouldn't work because you are neglecting to take into account brake efficiency and hydraulic pressure asserted so you cannot find out out deceleration of the car over s.
If you could work out the deceleration rate (a) for your car from key speeds then interpolate you could work it out using SUVAT, but every car is different so meh.
Thinking about it, you would also need to consider tyres, road surface type and condition (new, potholes, etc), weather conditions, age of the car and brakes, metal fatigue affecting the pressure asserted onto the pads and metal fatigue/warping of the discs.
In other words, you cannot work it out by using SUVAT, there are many equations that have to be done first.
In saying this, SUVAT would give you a ball park figure...