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Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...

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Basic Math

Suppose a particle is moving right and left in a straightline. Its position, in centimeters, at time t seconds is given bythe function s(t) = ?t3 + 12t2 ? 21t. (For the purposes of thisproblem, assume that t ? 0.)
(a) At what t-values is the particle stopped (that is, has avelocity of zero)?
(b) Over what time interval(s) is the particle movingleft?
(c) Find the acceleration of the object when t = 4.

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