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Sound wave

  1. Nov 18, 2007 #1
    [SOLVED] Sound wave

    A stone is dropped from rest into a well. The sound of the splash is heard exactly 1.70 s later. Find the depth of the well if the air temperature is 12.0°C.

    Anything _s is the sound wave, anything _f is the stone falling
    I tried using these equations:

    v_s = 331(sqrt(285/273) = 338.2

    t_s = x/338.2
    1.7 = t_s + t_f
    x = .5(9.8)t_f^2

    I plugged the first equation into the second, solved the second for t_f and plugged that into the last one. Ends up being a nasty quadratic but I'm pretty sure my math is ok. I ended up with

    .000042841x^2 - .0492x + 14.161

    but that gives imaginary solutions. Thanks for the help.

    EDIT: Nevermind- I forgot to move the x over. Sorry!!!!!!!!!!!
    Last edited: Nov 18, 2007
  2. jcsd
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