Question: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = cos t.

A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = cos t. At the time t = 0, its position is x = 3.

(a) Find the velocity and position functions for the particle

(b) Find the values of t for which the particle is at rest

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