A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat’s crew blows a loud horn. By the time the plane’s sound detector perceives the horn’s sound, the plane has traveled a distance equal to half its altitude above the ocean. If it takes the sound 2.00 s to reach he plane, determine
(a) The speed of the plane and (b) its altitude Take the speed of sound to be 343 m/s.