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If it takes a sonar echo 8 seconds to reach the bottom of the ocean and return, and the speed of sound is 1500 meters per second, how far away is the bottom of the ocean?

A) 4000 meters
B) 8000 meters
C) 6000 meters
D) 1200 meters

Answer :

Answer:

C) 6000 meters.

Explanation:

Hello.

In this case, since the speed is computed as the distance divided by the time to attain such displacement:

[tex]s=\frac{d}{t}[/tex]

Knowing that the speed is 1500 m/s and the required time is 4 s because is the half of the described travel, the distance is then:

[tex]d=s*t\\\\d=1500m/s*4s\\\\d=6000m[/tex]

Therefore, the answer is C) 6000 meters.

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Rewritten by : Barada

Distance to bottom of the ocean is equal to 12000 meters divide by 2. Distance to bottom of the ocean is equal to 6000 meters. So, the correct answer is: C) 6000 meters.

Let's break down the problem. The Sonar echo travels to the bottom of the ocean and back. The total distance traveled by the sound wave is twice the distance to the bottom of the ocean.

Given:

Speed of sound = 1500 meters per second

Time taken for echo to reach the bottom and return = 8 seconds

Using the formula:

Distance = Speed × Time

For the one-way trip to the bottom of the ocean, the distance is:

Distance = Speed × Time

Distance = 1500 m/s × 8 s

Distance = 12000 meters

However, this is the round-trip distance (to the bottom and back). The distance to the bottom of the ocean is half of this, so:

Distance to bottom of the ocean = 12000 meters / 2

Distance to bottom of the ocean = 6000 meters

So, the correct answer is:

C) 6000 meters

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