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Math Help - Wave Equation Word Problem

  1. #1
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    Wave Equation Word Problem

    At time t=0, two explosions occur in 3-space. They are contained within the spheres of radius 1 at the points (4,0,0) and (0,9,0). If you are located at hte point (0,5,0), what is the largest set of times t>0 for which you will not hear sounds from either explosion?

    OK, so this is a 3-D wave problem, I know that, and I could probably solve it pretty easily. However, I'm having trouble with the setup. Can someone point me im the right direction as far as the setup is concerned?
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  2. #2
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    Quote Originally Posted by mathematicalbagpiper View Post
    I could probably solve it pretty easily. However, I'm having trouble with the setup.
    I'm always humored by this description. It's the "setup" that's important!

    First Question: Does it need to be 3D? Only three locations.
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  3. #3
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    Well, seeing as how we're at the particular points in space, and z=0 at all of them, I suppose this could reduce down to 2D.
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  4. #4
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    Note: With only 3 locations, this would ALWAYS be the case.

    Okay, now the sources. Can we use point sources or are we "1" closer than that?
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