I am not sure how to do these. I am assuming I integrate, but I don't understand what to do with the initial velocity and position. Thank you.

Iv(t)| = 8 /2+e+ 16t 4. [-/2 Points] DETAILS SCALCET8 13.4.502.XP. Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2i + 6tj + 12t-k, v(0) = i, r(0) = 6j - 5k v(t) : ro= 5. [-/2 Points] DETAILS SCALCET8 13.4.018. (a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 17ti + elj + e-[k, v(0) =k, r(0) = j+ k r(t) = (b) On your own using a computer, graph the path of the particle