# A stone is dropped from rest into a well. The sound of the splash is heard exactly 2.00s later. Find the depth of the well if the air temperature is 10.0°c ?

##### 2 Answers

#### Explanation:

Although there will be some variation depending upon air humidity (for example) the speed of sound relative to temperature (measured in degrees Celsius) can be determined by the empirical formula:

where

For a speed of

the distance

Therefore we have

#### Explanation:

For the 1st part the stone is falling under gravity. Let

So

After splashdown the sound travels back up. Using

We also know that:

Combining

From

So:

Using the quadratic formula to solve for

Ignoring the -ve root this gives:

So

So