The Amazing Speed of Sound: How Far Away is the Ship?

How far away is the ship from the woman based on the given scenario?

Can you calculate the distance from the woman to the ship using the time it took for the sound wave to reach her in both water and air?

The distance from the woman to the ship is determined by finding the total distance the sound traveled in both water and air.

The total calculated distance is 7380.12 meters.

Explanation: In this scenario, we are dealing with the propagation of sound through both water and air. This is a problem of physics specifically related to wave mechanics. Firstly, the woman hears the sound underwater because sound travels faster in water. The sound then reaches her 4.00 seconds later through the air. Therefore, the total distance from the woman to the ship is equivalent to the distance the sound travels in water plus the distance in air.

To find the distance from the ship to the woman, we need to calculate the distance the sound has traveled in both media. We will use the formula for distance, which is velocity x time. In water, the velocity of sound is 1500 m/s and the time is the same as in air because both sounds started at the same time. In air, the velocity is 345.03 m/s and the time is 4 seconds less, as we had to wait for it to reach her. So, the total distance is (1500 m/s * 4 secs) + (345.03 m/s * 4 secs), which equals 7380.12 meters.