Discussion
At a given altitude, as trim speed increases the two longitudinal modes
Answer: C
Short-period frequency rises with dynamic pressure while the phugoid's falls as \( \sqrt{2}g/u_0 \), so the two move apart. At 100 m/s the ratio might be twenty; at 250 m/s it can exceed a hundred. That widening separation is convenient, because it makes the two-degree-of-freedom approximations more accurate at high speed and least accurate at low speed, where a slow aeroplane's modes are closest together. The modes converging is the behaviour associated with an extremely aft centre of gravity, not with speed. The remaining options have one of the two trends inverted.
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