Physics

Physics

Problem

A sonar device fixed to the side of a ship emits an ultrasonic pulse that returns after 0.50 s0.50\,\text{s}. If the speed of sound in seawater is 1500 m/s1500\,\text{m/s}, calculate the distance of the reflecting object from the ship. a) 750 m750\,\text{m} b) 150 m150\,\text{m} c) 375 m375\,\text{m} d) 187.5 m187.5\,\text{m}
Intuitive explanation

The key is recognizing that sound travels down to the object and back up, so the total time includes the round trip. Use the relationship distance = speed × time, but remember you need to divide by 2 since the sound covers the distance to the object twice. This is a straightforward application of kinematics in a medium where speed is constant.

Intuitive explanation

The key is recognizing that sound travels down to the object and back up, so the total time includes the round trip. Use the relationship distance = speed × time, but remember you need to divide by 2 since the sound covers the distance to the object twice. This is a straightforward application of kinematics in a medium where speed is constant.

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