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DISCUSSION and HINTS
Since the cable does not stretch (R_dot = R_ddot = 0), an observer on aircraft A will see a circular path for B, although the true path of B is more complicated than that. Since θ_dot = constant, then θ_ddot = 0.
It is recommended that you write down the relative motion kinematics equations relating the motions of A and B:
vB = vA + vB/A
aB = aA + aB/A
and use a set of polar coordinates to describe vB/A and aB/A:
vB/A = R_dot*eR + R*theta_dot*eθ = R*theta_dot*eθ
aB/A = (R_ddot - R*theta_dot^2)*eR + (R*theta_ddot +2*R_dot*theta_dot)*eθ = - R*theta_dot^2*eR