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 receives the horn's sound, the plane has traveled a distance equal to two-thirds its altitude above the ocean.
(a) If it takes the sound 2.10 s to reach the plane, determine the speed of the plane. (Take the speed of sound to be 343 m/s.)
_____ m/s
(b) What is its altitude?
_____ m