The velocity of a particle is given by v = [at²i + bt³j + (ct + d)k]. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = t₁. Also, what is the x, y, z coordinate position of the particle at this instant? Given:

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= 16 a = m 3 S b = 4 m 4 S c = 5 m 2 S d = 2 m S t₁ = 2 s