Question: The position of a particle is defined by r = {a cos(bt) i + c sin(bt) j}. Determine the magnitudes of the velocity and acceleration

The position of a particle is defined by r = {a cos(bt) i + c sin(bt) j}. Determine the magnitudes of the velocity and acceleration of the particle when t = t₁. Also, prove that the path of the particle is elliptical. Given:

a = 5 m b = 2 rad S = 4 m C = t = 1 s

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