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A submarine emits a sonar pulse, which returns from an underwater cliff in 1.02 s. If the speed of sound in salt water is 1531 m/s, how far away is the cliff?
Time taken by the sonar pulse to return, t = 1.02 s
Speed of sound in salt water, v = 1531 m s−1
Total distance covered by the sonar pulse = Speed of sound × Time taken
Total distance covered by the sonar pulse .....(i)
Let d be the distance of the cliff from the submarine.
Total distance covered by the sonar pulse = 2d
⇒2d=1561.62 [From (i)]
⇒d=780.81 m
read lessTotal distance = speed * time
in this case, we need one way distance,
so, distance = speed * time / 2
= 1.02 * 1531 / 2
= 1561.62 / 2
= 780.81 meters
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