The question,
(what is) The max IAS that the shuttle achieves during the launch and at what height
On launch, speed indications are INS driven.
Max q is reached at 1 minute after launch at about 35,000 ft.(typically Mach 1.5)
After this point, air density rapidly decreases, the shuttle throttles up and dynamic pressure reduces to zero after about 2 minutes. (3,000 mph / 28 miles high)
The shuttle then continues to accelerate to 17,500mph which is orbital speed.
Don't forget that on launch the shuttle is a rocket so airspeed isn't considered, except that obviously max q is accounted for!
On landing however, as the shuttles speed drops to less than Mach 3, two air data probes are deployed from either side of the nose of the spacecraft. These probes provide supplemental information on the airspeed and altitude gained from the outside barometric pressure and wind speed.
Clear as mud.
SS