I've just done some rough calculations using these assumptions to make it simpler:
- There's no air resistance.
- The air bag will maintain pressure when it is compressed and won't break.
- The person landing on it will land lying down with a rough surface area of 0.56m2 (0.33m wide and 1.7m tall) and weighs 70kg.
So based on those assumptions, to slow a person down with an acceleration of 30g, probably the maximum you could get away with, jumping from the top of Gernfell Tower (67m) would require a bag 2.33m high pressurized at 5.33psi, full calculations are below.
A giant foam block would probably be better, I'd imagine the bag would break fairly easily. Also, at terminal velocity the distance needed to slow a person down at 30g deceleration is 4.8m.
For velocity at impact;
s(distance)=67m, u(initial velocity)=0m/s, a(acceleration)=9.8m/s2, v(final velocity)=?
v2=u2+2as, v=36.2m/s
For deceleration distance;
u=36.2m/s, v=0m/s, a=30gm/s2, s=?
s=2.23m
Forced required to slow person down;
m(mass)=70kg, a=30gm/s2, F(force)=?
F=ma, F=20,580N
Pressure of bag;
A(area)=0.56m2, F=20,580N
P=F/A, P=36,750N/m2=5.33psi