The position vector function for a particle.

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The position vector function for a particle is defined by:

R= -5Cos(2πt)i + 5Sin(2πt)j

1.Determine the corresponding Cartesian equation of the path of the particle.

2.Describe the motion of the particle

3.Determine the velocity of the particle at time t=1/8

4.Calculate the speed of the particle at time t=1/8