Question: At time t = 0 a particle is at position s = ( 2 ; 0 ) with velocity v = ( 0 ; 6

At time t=0 a particle is at position s=(2 ; 0) with velocity v=(0 ; 6). Its acceleration is given by a=-18(cos3 t; sin3 t). What is the trajectory of the particle? What are the directions of the position velocity and acceleration vectors at any point on this trajectory?

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