Question

When a stone is dropped into a well, the sound is heard only 3 seconds later. How deep is the well (ignore the speed of sound)?

Answer 1

To determine the depth of the well, we can use the equation of motion for the stone:

h = (1/2) * g * t^2

where: h is the depth of the well, g is the acceleration due to gravity (approximately 9.81 m/s^2 on Earth), t is the time taken for the sound to be heard (which is 3 seconds in this case).

Plugging in the values:

h = (1/2) * 9.81 m/s^2 * (3 s)^2 h = 44.145 m

So, the depth of the well is approximately 44.145 meters.