Posted by **Sandhu** on Sunday, September 13, 2009 at 9:51am.

A man drops a stone into a water well on his farm. He hears the sound of the splash 3.25 s later. The acceleration of gravity is 9.8 m/s2 and the speed of sound in air is 326 m/s. How deep is the well?

- Physics -
**lamiya**, Sunday, September 13, 2009 at 10:01am
100.3 meters, if I'm not mistaken..

Well deep = 326/3.25= ~100m

- Physics -
**MathMate**, Sunday, September 13, 2009 at 10:16am
Denote the height by h, and the time for stone to descend t, we have the equation

h=ut+(1/2)gt&sp2;

where

u=0 m/s, initiial speed, and

g=acceleration due to gravity.

For the sound to return, we have

h=326 m/s*(3.25-t)

Solve for h and t using the two equations.

You should have t=3.1 and h=47 m approximately

- Physics: corr -
**MathMate**, Sunday, September 13, 2009 at 10:17am
h=ut+(1/2)gt²

- Physics -
**sandhu**, Sunday, September 13, 2009 at 12:23pm
Thanks a lot

- Physics -
**Amy**, Sunday, December 6, 2009 at 1:55pm
How exactly was h and t solved for?

- Physics -
**bianca**, Sunday, September 1, 2013 at 11:01am
Explain further pls

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