K2: Calculate the displacement, velocity and acceleration of a particle, using Cartesian coordinate system

(Q3): A particle is located at the origin when t = 0. Its velocity is described by the following vector: \mathbf{v}=\left(\mathrm{G} \mathrm{t} \mathrm{t}^{2}-5 \mathrm{t}^{\mathrm{G} / 2} \mathbf{j}+\mathrm{G} / 4 \mathrm{t} \mathbf{k}\right) \mathrm{m} / \mathrm{s}, \text { where } \mathrm{t} \text { is in seconds. } Determine:a) The acceleration vector of the particle when t = (G/2) s b) The magnitude of the particle's acceleration when t = (G/2) s c) The displacement vector of the particle for any generic time t d) The distance from the origin when t = (G/2) s