← The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion at t=1. Write the particle's velocity at that time as the product of its speed and direction. r(t)=(4 In (t+1))i+j+k The velocity vector is v(t)= =Ji+Dj+Jk. (Type exact answers, using radicals as needed.)

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