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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

247 Points
7 years ago

(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