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

The bottom of the ocean is 6 km    

Explanation:

Given data,

The time taken by the SONAR to reach the bottom of the ocean and return is, t = 8 s

The speed of the sound in water, v = 1500 m/s

The formula for distance traveled by the SONAR is,

                                       d = v x t

Substituting the values

                                        d = 1500 x 8

                                            = 12,000 m

The half the distance the SONAR covered is equal to the depth of the ocean

                                         s = d/2

                                             = 12000/2

                                             = 6000 m

Hence, the bottom of the ocean is 6 km      

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