The velocity of a particle moving in the x-y plane is given by 6.12i + 3.24j m/s at time t=3.65s. Its average acceleration during the next 0.02s is 4i+6j m/s^2. Determine the velocity v of the particle at t=3.67s and the angle theta between the average acceleration vector and the velocity vector at t=3.67 s.