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A sound wave from a ship is received 8.4s later. What is the depth of the sea? [...


Question

A sound wave from a ship is received 8.4s later. What is the depth of the sea? [Speed of sound in water = 1500ms-1]

Options

A)
0.179km
B)
0.357km
C)
3.150km
D)
6.300km
E)
12.600km

The correct answer is D.

Explanation:

\(V = \cfrac{2X}{t}\)
\(X = \cfrac{Vt}{2}\)
\(X = \cfrac{1500 \times 8.4}{2} = \cfrac{12600}{2} = 6300\text{m}\)
\(\cfrac{6300}{1000} = 6.3\text{km}\) or \(6.300\text{km}\)

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Dicussion (1)

  • \(V = \cfrac{2X}{t}\)
    \(X = \cfrac{Vt}{2}\)
    \(X = \cfrac{1500 \times 8.4}{2} = \cfrac{12600}{2} = 6300\text{m}\)
    \(\cfrac{6300}{1000} = 6.3\text{km}\) or \(6.300\text{km}\)