Question: The acceleration of a particle is defined by the relation a = 12x 28, where a and x are expressed in m/s2 and meters, respectively.

The acceleration of a particle is defined by the relation a = 12x − 28, where a and x are expressed in m/s2 and meters, respectively. Knowing that v = 8m/s when x = 0, determine
(a) The maximum value of x,
(b) The velocity when the particle has traveled a total distance of m3.

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