The acceleration of a particle is given by a = 2.4aτ m/s2.

The acceleration of a particle is given by a = 2.4aτ m/s2. The initial position of the particle is r = (0, 0, 0), while its initial velocity is v = — 2ax + 5az m/s.
(a) Find the position of the particle at time t = 1.
(b) Determine the velocity of the particle as a function of t.
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