A sound wave traveling at three hundred twenty m per sec is emitted by the foghorn of a tugboat An echo is heard two point zero seven sec later How far away is the reflecting object Answer in units m?

Answer 1

The wave travels at 320m/s

The echo is heard 2.07 seconds later

In 2.7 seconds, the sound wave has traveled

350m/s*2.07s=724.5m

Because the sound wave has traveled the distance from the tugboat to the reflecting object twice(once going out, once back), the final distance must be divided by 2

724.5m/2=362.25m

The reflecting object is 362.25m away

Answer 2

The time it takes for the sound wave to travel to the reflecting object and back as an echo is heard is twice the time it takes for the sound wave to travel one way. Therefore, the time it takes for the sound wave to reach the reflecting object is 2.07 seconds divided by 2, which is 1.035 seconds. Using the speed of sound, which is 320 m per second, we can calculate the distance. Distance = speed × time, so the distance to the reflecting object is 320 m/s × 1.035 s, which is approximately 331.2 meters.