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The position of a particle is defined by r={5cos(2t)i+4sin(2t)j} m, where t is in seconds and the arguments for the sine and cosine are given
in radians. Determine the magnitudes of the velocity and acceleration of the particle when t=1s. Also, prove that the path of the particle is

elliptical.

elliptical.

The position of a particle is defined by r={5cos(2t)i+4sin(2t)j} m, where t is in seconds and the arguments for the sine and cosine are given
in radians. Determine the magnitudes of the velocity and acceleration of the particle when t=1s. Also, prove that the path of the particle is

elliptical.

elliptical.