Question: The two-dimensional motion of a particle is defined by the relations r = 3 / sin cos and 2 tan =

The two-dimensional motion of a particle is defined by the relations r = 3 / sin θ – cos θ and 2 tan θ = 1 + 1/t2, where r and θ are expressed in feet and radians, respectively, and t is expressed in seconds. Determine

(a) The magnitudes of the velocity and acceleration at any instant,

(b) The radius of curvature of the path. What conclusion can you draw regarding the path of the particle?

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