Question

You yell down a very deep well and it takes 1.5 s for your echo to return. If the speed of sound is 340 m/s then how deep is the well ?

Answer 1

We know that

• The time of the echo to return is 1.5 seconds.

,

• The speed of the sound is 340 m/s.

It's important to consider that the sound wave has a constant speed, that is, it doesn't change its velocity. Therefore, we have to use the relation

`d=v\cdot t`

Where t = 1.5 sec and v = 340 m/s. Let's find d

`\begin{gathered} d=340m/s\cdot1.5\sec \\ d=510m \end{gathered}`

Hence, the well is 510 meters deep.