Question

In: Physics

A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the...

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 one-third its altitude above the ocean. Assuming it takes the sound 2.02 s to reach the plane, and taking the speed of sound to be 343 m/s, determine the following.

(a) the speed of the plane
m/s

(b) the altitude of the plane
m

Expert Solution

is the altitude of the plane.

is the distance traveled by plane after the horn is blown and it is received by the plane's detectors.

is the distance traveled by the soundwave.

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Given that by the time the plane's sound detector receives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean.

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Consider the soundwave

Speed = Distance/Time

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Consider the figure

Use Pythagoras' theorem

(b) ANSWER:

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(a) Speed of the plane

Distance traveled by the plane,

Speed of the plane,

(a) ANSWER:

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genius_generous answered 6 months ago

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