12-73. The position of a particle is defined by r = {5(cos
Chapter 12, Problem 12-73(choose chapter or problem)
The position of a particle is defined by \(r=\{5(\cos 2 t) \mathbf{i}\ +\ 4(\sin 2 t) \mathbf{j}\}\ \mathrm{m}\), 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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