Question

A rock dropped down a deep well and 4.0s later you hear the sound of the splash.

If the temperature is 23°C and the acceleration due to gravity is 9.8 m/s²,
then how deep is the well?
(HINT: The distance the rock tdrops down is equal to the distance the sound travels back up, and yes, there is a quadratic to solve)

Answer 1

Step-by-step explanation:

To solve this problem, we can use the equation d = 1/2 * g * t^2, where d is the distance the rock falls, g is the acceleration due to gravity, and t is the time it takes for the sound to travel back up.

Plugging in the values given in the problem, we get:

d = 1/2 * 9.8 m/s^2 * 4.0s^2

= 39.2 m

So the depth of the well is approximately 39.2 meters.