Question

If a rock falls in a well and you hear the splash 5 seconds later, how deep is the well? (Velocity of sound is 343 m/s)

a) 1715 m
b) 1715 m/s
c) 1715/2 m
d) 1715/2 m/s

Answer 1

The depth of the well is 1715 m.

Step-by-step explanation:

To calculate the depth of the well, we need to consider the time it takes for the sound to travel down and back up the well. Since the sound takes 5 seconds to reach our ears, the time taken for the sound to travel down the well and bounce back is half of that, which is 2.5 seconds.

Using the formula distance = speed x time, we can calculate the depth of the well as follows:

depth = (speed of sound x time) / 2

Substituting the given values, we have:

depth = (343 m/s x 2.5 s) / 2 = 1715 m

So, the depth of the well is 1715 m.