The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in for a closer look flying in a straight line at a constant altitude of 1000 feet at a speed of 224 ft./s aircraft passed directly over the trail how fast was the aircraft receding the troller when it was 1300 feet from the trawler the trawler
was located at a distance of 1300 feet from the aircraft when it passed overhead.
To find the speed at which the aircraft was receding from the trawler at this point, we can use the concept of relative motion. Since the aircraft is flying in a straight line at a constant altitude, we can treat the movement of the aircraft as horizontal motion only.
Let's denote:
- Distance between the aircraft and the trawler when the aircraft is directly overhead as D1 = 0 feet
- Distance between the aircraft and the trawler when the aircraft is 1300 feet from the trawler as D2 = 1300 feet
Let the speed of the aircraft be V_aircraft = 224 ft/s
Now, using the concept of relative motion, we can calculate the speed at which the aircraft is receding from the trawler when it is 1300 feet away:
Speed of aircraft relative to trawler = Speed of aircraft in horizontal direction
= 224 ft/s
Therefore, the speed at which the aircraft is receding from the trawler when it is 1300 feet from the trawler is 224 ft/s.