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rescue plane seeks boat on ocean hears sound from boat

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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 one half its altitude above the ocean. If it takes the sound 2.44 s to reach the plane. Take the speed of sound to be 349 m/s.

(1) Determine the speed of the plane.

-Please provide a detailed answer.

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Solution Summary

Sound sent from a boat on the ocean to a plane flying overhead enables the boat operator find the speed of the plane.
Relationship between given information included with use of Pythagorean formula.

Solution Preview

Step 1. The plane is at height H above the boat when the horn sounds. During the next t seconds, the plane flies at velocity V for a distance of .5H. ...

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