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An airplane is in supersonic flight at an altitude h. At what smallest distance a (along the horizontal) from the observer on the ground is there a point from which the sound emitted by the airplane motors travels to the observer faster than from point A that is directly above the observer – (a) a<2(v_p/v_s )/((v_p/v_s )^2-1) h (b) a<((v_p/v_s ))/((v_p/v_s )^2-1) h (c) not possible for any real value of a (d) a>2(v_p/v_s )/((v_p/v_s )^2-1) h where vp = velocity of airplane, vs = velocity of sound
(a) t = √(a^2+h^2 )/v_s => t_2=a/v_p +h/v_s ; t1 < t2¬ a < 2(v_p/v_s )/((v_p/v_s )^2-1) h
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