- #1
mart
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Homework Statement
Well this problem consists in, as the title says. A rock fall down a well, and it took you 4 seconds to ear the noise. It would be a rather easy problem, if it didn't had the sound in consideration. Oh and rigth now I apoligize for any errors or mistakes, I'm portuguese so there are some thing that might be diferent in translation, but i was very happy to find this forum btw. Moving on:
Gravity force is not included in there you might consider 9.8m/s or 10m/s
Sound speed 360m/s
The rock fall, so no initial speed.
Consider you are with your head at the top of the well.
Don't consider air resistance
Homework Equations
average velocity
average acceleration
velocity & time
displacement & time
They are in the formulay of the forum. The problem should be able to be solved with this equaitons
The Attempt at a Solution
Well i don't have any equations to put here, because the way i tryied to solve the problem up until now was by logic. It got me to a reduntant situation where I can find the depth of the well, if i don't consider the sound, but then, considering the time that the sound took to go up that distance that i found, the well has to be smaller, but if it has to be smaller because of the sound then i have to shorten the distance that I calculated in the first place. I could do this infinite times and it would get me my solution, but unfortunally i don't know any way to do that (not needed to be infinite, but a really big number of times or so, so it would be a plausable solution). Later I though of a system. But I simply can not build it.
Im thinking the teacher would be a little bit mad if I tryed to do a computer program to do that reduntant situation 500 times... so the only way I can think of precision is the system, but I have been raping my head around it and i don't know how i can do it. Could you please help me? This is really a out of the box exercise for me I'm on 11th grade and i never seen anything like it. I have no idea how to start of build the system. To total precision i would have to consider a infinitly small amount of space and consider what was the sound gravity relation to that. But I really going blind here, even if I got to that, I don't know what to do with it, I am thinking it has something to do with the end solution. Sorry by the big text just wated to try and let out what I've thought so far. Could you please please help me.