Homework Help: Physics

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?

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