A ship sends out ultrasound that returns form the seabed and is detected after `3.42 s`. If the speed of the ultrasound through sea water is `1531 m//s`, what is the distance of the seabed from the ship ?

Explanation

Given,
Time between transmission and detection, t = 3.42 s.
Speed of ultrasound in sea water.
v = 1531 m/s
Distance travelled by the ultrasound
= 2 `xx` depth of the sea = 2d
where d is the depth of the sea.
2d = speed of sound `xx` time
= 1531 m/s `xx` 3.42 s = 5236 m
d = 5236 m/2 = 2618 m.
Thus, the distance of the seabed from the ship is 2618 m or 2.62 km.