Question: PROBLEM 2 (32) Let a and b be real numbers Where a 7E D. The position of a particle is given by 3(t) : a.

PROBLEM 2 (32) Let a and b be real numbers Where a 7E D. The position of a particle is given by 3(t) : a. sin(t) + E). Find the velocity and acceleration functions for this particle. When t is between 0 and 2%, determine the intervals when the particle is slowing down or speeding up. (Note that your answers will be in terms of a and b.)

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