1 \(\mathbf { 0 }\) A particle of mass 2 kg moves under the action of a constant force \(\mathbf { F N }\), where \(\mathbf { F }\) is given by
$$\mathbf { F } = - 3 \mathbf { i } + 4 \mathbf { j } - 5 \mathbf { k }$$
a) Find the magnitude of the acceleration of the particle.
b) Given that at time \(t = 0\) seconds, the position vector of the particle is \(2 \mathbf { i } - 7 \mathbf { j } + 9 \mathbf { k }\) and it is moving with velocity \(3 \mathbf { i } - 2 \mathbf { j } + \mathbf { k }\), find the position vector of the particle when \(t = 2\) seconds.
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