Problem

The position of a particle is defined by r = {5(cos 2t)i + 4(sin 2t)j} m, where t is in se...

The position of a particle is defined by r = {5(cos 2t)i + 4(sin 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 = 1 s. Also, prove that the path of the particle is elliptical.

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