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calculus

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A particle moves along a horizontal line such that its position s(t) = (t^2e^3t/3)for time t. Find when the particle is at rest.

  • calculus -

    To be at rest, wouldn't the velocity have to be zero ?
    And isn't velocity the first derivative of your s(t) ?

    so...

    take the first derivative, set it equal to zero and solve for t.
    hint: use the product rule.

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