Question

A person hears the echo of his own voice from a distant hill after 2 seconds. How far away is the person from the hill, if the speed of sound is 330m/s ? ​

Answer 1

Answer: 330 m

Step-by-step explanation:

The speed of sound
`V` is defined as the distance traveled by the sound wave
`d` in a especific time
`t`:

`V=(d)/(t)`

Where:

`V=330 m/s` is the speed of sound

`t=(2 s)/(2)=1 s` is half the time the sound wave travels since the person speaks, the sound wave hits the hill and then returns to the person again as an echo

`d` is the distance between the person and the hill

So, we have to find
`d`:

`d=Vt`

`d=(330 m/s)(1 s)`

Finally:

`d=330 m`