The two-dimensional motion of a particle is defined by the relations r = 6 (4 2e t) and = 2(2t + 4e 2t),

The two-dimensional motion of a particle is defined by the relations r = 6 (4 − 2e− t) and θ = 2(2t + 4e− 2t), where r is expressed in feet, t in seconds, and θ in radians. Determine the velocity and the acceleration of the particle

(a) When t = 0,

(b) As t approaches infinity. What conclusions can you draw regarding the final path of the particle?