/Off topic
You are correct, and the Bell X-1 stole an idea from the British Miles M-52, an aircraft that Brown was sure would have exceeded Mach 1 and he was slated as the possible pilot for the prototype.
The M-52 had an 'all-moving' elevators that cured the problems that Bell had with the shock wave from the wing causing 'washout' of the X-1's elevators and loss of control as you neared Mach 1, a phenomenon that some WW2 pilots (P-38 Lightnings in particular) also experienced in sharp dives.
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