The acceleration of point A is defined by the relation a = ? 3.24 sin kt ? 4.32cos kt, where a and t are expressed in ft/s2 and seconds, respectively, and k = 3 rad/s. Knowing that x = 0.48 ft and v = 1.08 ft/s when t = 0, determine the velocity and position of point A when t = 0.5 s.

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