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Suppose that the position of a particle as a function of

Question: Suppose that the position of a particle as a function of time is given by the formula s(t) = 4t² - t⁴ for t > 0,

(a) Find the velocity and acceleration as functions of time.

(b) Find the time at which the velocity is zero and the time at which the acceleration is zero.

(d) Find the time at which the acceleration is maximum.

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