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=2 Write the particle's velocity that time as the product of its speed and direction r(t) = (3 In (t+ 1)i +tj+k The velocity vector is v(1) = + j+ k (Type exact answers, using radicals as needed.)

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