The equation of motion of a particle is s = t 4 - 2t 3 + t

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The equation of motion of a particle is s = t4 - 2t3 + t2 - t, where s is in meters and t is in seconds.

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

(b) Find the acceleration after 1 s.

(c) Graph the position, velocity, and acceleration functions on the same screen.

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