these are all of my attempts to solve this question and I only have one attempt left, can someone please help me

a(t) = 20ti + sin(t) j + cos(2t)k, v(0) = i, r(0) = j r (t ) = 10 31 + (t - sint + 1)j + (1 - -cos 2r k X Submission 2 (0/1.53 points) Monday, June 13, 2022 08:51 PM PDT Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. Then on your own using a computer, graph the path of the particle. a(t) = 20ti + sin(t) j + cos(2tjk, v(0) = i, r(0) = j r(t) = 3 +ti+ (1 + /- sint)j + (1-cos 2t ) 4 X Submission 3 (0/1.53 points) Monday, June 13, 2022 08:54 PM PDT Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. Then on your own using a computer, graph the path of the particle. a(t) = 20ti + sin(t) j + cos(2t) k, v(0) = i, r(0) = j (t ) = 10r 3 it (- sint + 1)j + (1 _ 1cos(2t) k X Submission 4 (0/1.53 points) Monday, June 13, 2022 10:39 PM PDT Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. Then on your own using a computer, graph the path of the particle. a(t) = 20ti + sin(t) j + cos(2t)k, v(0) = i, r(0) = j r (t ) = 3 10 31 + (1 - sint + ()j+(-1 -cost + 1)k X