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anonymous

  • 4 years ago

A particle that moves along a straight line has velocity (see below) meters per second after t seconds. How many meters will it travel during the first t seconds?

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  1. anonymous
    • 4 years ago
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    \[v(t)=t^2e ^{-3t}\]

  2. anonymous
    • 4 years ago
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    integrate

  3. anonymous
    • 4 years ago
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    I know that, but I might need a little help on the steps.

  4. Rogue
    • 4 years ago
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    \[Displacement = \int\limits_{0}^{t} t ^{2} e ^{-3t}dt\]

  5. anonymous
    • 4 years ago
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    Remember that \[v(t)=\frac{dx(t)}{dt}\]

  6. anonymous
    • 4 years ago
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    If you integrate like kristal said: \[x(t)=\int_0^tv(t)dt\]

  7. Rogue
    • 4 years ago
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    \[Distance = \int\limits_{0}^{t}\left| t ^{2} e ^{-3t} \right| dt\]

  8. anonymous
    • 4 years ago
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    Do you need help to solve that integral?

  9. anonymous
    • 4 years ago
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    I do, I know it's integration by parts. But I don't know which to make f(x) or g(x).

  10. Rogue
    • 4 years ago
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    \[\mu = t ^{2}, d \upsilon = e ^{-3t}\]

  11. Rogue
    • 4 years ago
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    I think, following LIPET.

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