You stand at the top of a deep well. To determine the depth ( ) of the well, your drop a rock from the top of the well and listen for the splash at the water hits the surface. The splash arrives after you drop the rock. The speed of sound in the well is .
A) Find the quadratic equation for the distance D in terms of time, the acceleration due to gravity, and the speed of sound. Arrange the expression so that the coefficient of the term is 1.
B) Solve the equation for the depth of the well in meters.