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Hananana

  • 2 years ago

A particle moves on a horizontal line as described by the equation s = t 3 −12t + 3 . a. When is the particle changing directions? b. When is the particle moving to the right and when is it moving to the left?

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  1. Denebel
    • 2 years ago
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    The particle changes direction when the velocity changes sign, so you would have to find out what specific times t, the function's velocity goes from neg->pos or pos->neg.

  2. Denebel
    • 2 years ago
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    You can set the v=0

  3. Denebel
    • 2 years ago
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    Does this make sense?

  4. Hananana
    • 2 years ago
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    I already did it. But I was thinking about what to do with -2. I came up with 3(t-2)(t+2)=0 t=2, what shall I do with -2? There's no negative time -.-

  5. Denebel
    • 2 years ago
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    Yup, if you can't have -2 but 2 is also an answer, the answer will be.....?

  6. Hananana
    • 2 years ago
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    2?

  7. Denebel
    • 2 years ago
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    Yup. I haven't done the problem, but if that was your point of confusion, yes, if you have something for t that doesn't make sense (such as when t=0, or neg.) you can disregard it and only use the positive answer.

  8. Hananana
    • 2 years ago
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    So that's it. I can do it now. Thanks

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