Question
A ship sends out ultrasound that returns from the seabed and is detected after 3.42 s. If the speed of ultrasound through seawater is 1531 m/s, what is the distance of the seabed from the ship?
Solution
Time between transmission and direction, t = 3.42 s
Speed of ultrasound in sea water, v = 1531 m/s
Let, the depth of the sea be 'd'.
Distance travelled by the ultasound = 2 x depth of the sea = 2d
Therefore,
2d = speed of sound X time
= 1531 m/s x 3.42 s
= 5236 m
Therefore,
Distance of the seabed from the ship, d =
Thus, the distance of the seabed from the ship is 2.62 km.
