A SONAR on a ship sends a signal to the ocean floor and receives the reflected signal.The speed of the signal in water is 1400 metres per second.The ocean floor is 7 kilometres below the ship. Question promptHow long will the signal take to go to the ocean floor and come back to the ship?
Question
A SONAR on a ship sends a signal to the ocean floor and receives the reflected signal.The speed of the signal in water is 1400 metres per second.The ocean floor is 7 kilometres below the ship. Question promptHow long will the signal take to go to the ocean floor and come back to the ship?
Solution
First, we need to convert the depth of the ocean from kilometers to meters because the speed of the signal is given in meters per second.
1 kilometer is equal to 1000 meters. So, 7 kilometers is equal to 7 * 1000 = 7000 meters.
The signal has to travel to the ocean floor and then back to the ship. So, the total distance the signal travels is 7000 meters (down to the ocean floor) + 7000 meters (back to the ship) = 14000 meters.
The speed of the signal is 1400 meters per second.
To find the time it takes for the signal to travel, we use the formula: time = distance / speed.
So, the time it takes for the signal to travel to the ocean floor and back to the ship is 14000 meters / 1400 meters/second = 10 seconds.
Therefore, the signal will take 10 seconds to go to the ocean floor and come back to the ship.
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