The damped motion of a vibrating particle is defined by the position vector r = x1 [1??1/(t+1)]I + (y1e??t/2 cos2t)j, where t is expressed in

The damped motion of a vibrating particle is defined by the position vector r = x1 [1??1/(t+1)]I + (y1e??πt/2 cos2πt)j, where t is expressed in seconds. For x1 = 30 in. and y1 = 20 in., determine the position, the velocity, and the acceleration of the particle when

(a) t = 0,

(b) t = 1.5 s.

16/4 1.0 0.5 -0.3 - 0.2 00 sin