A rescue plane flies horizontally at a constant speed searchingfor a disabled boat. When the plane is directly above the boat, theboat's crew blows a loud horn. By the time the plane's sounddetector receives the horn's sound, the plane has traveled adistance equal to one-third its altitude above the ocean. Assumingit takes the sound 2.02 s to reach the plane, and taking the speedof sound to be 343 m/s, determine the following.
(a) the speed of the plane
m/s
(b) the altitude of the plane
m
