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adhungan adhungan
wrote...
Posts: 61
8 years ago
A submarine can use sonar (sound traveling through water) to determine its distance from other objects. The time between the emission of a sound pulse (a "ping") and the detection of its echo can be used to determine such distances. Alternatively, by measuring the time between successive echo receptions of a regularly timed set of pings, the submarine's speed may be determined by comparing the time between pings. Assume you are the sonar operator in a submarine traveling at a constant velocity underwater. Your boat is in the eastern Mediterranean Sea, where the speed of sound is known to be 1522 m/s. If you sent out pings every 4.9 s, and your apparatus receives echoes reflected from an undersea cliff every 4.89 s, how fast is your submarine approaching the cliff?


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Answer rejected by topic starter
wrote...
8 years ago
let t = 4.1s and t = 4.09s if the distance between submarine and cliff is d then velocity of sound

v =2d / t so that d = vt / 2 = 1522 x 4.09 /2 = 3112.49m

if u is the velocity of the sub then v + u = 2d / t so u = 2d / t + v = 2x3112.49/4.09 + 1522 =3044m/s
Answer rejected by topic starter
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Educator
8 years ago
Upwards Arrow Looks like your numbers are different.
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