I have been stuck with these problems for a while. Could you please give me some guidance on these problems so I can see what is wrong? Thanks for your help in advance!

14.4.23 For the following trajectory, nd the speed associated with the trajectory and then nd the length of the trajectory on the given interval. r(t}= (35*, 43, 513), for05t54 The speed associated with the trajectory is - (Type an exact answer, using radicals as needed.) The length of the trajectory on the given interval is units. (Type an exact answer, using radicals as needed.) Enter your answer in the answer box and then click Check Answer. Score: 0 of 1 pt 5 of 5 (4 complete) 14.4.26 For the following trajectory, find the speed associated with the trajectory and then find the length of the trajectory on the given interval. r(t) = (8 esint, 8 elcost, 8 e ), for Osts In 6 The speed associated with the trajectory is]. (Type an exact answer, using radicals as needed.) Enter your answer in the answer box and then click Check Answer. part remaining Clear All14.3.48 Given an acceleration vector, initial velocity (Up: Vo,Wo), and initial position (Xo:Yozo) , find the velocity and position vectors for t = 0. a(t) = (4,t,61), (up,Vo.Wo) = (16,0,0) , (xo.yozo) = (0,0,0) What is the velocity vector? v(1) = (0 Enter your answer in the edit fields and then click Check Answer. partScore: 0 of 1 pt 5 of 6 (4 complete) 14.3.37 Given an acceleration vector, initial velocity (Up.Vo) , and initial position (X.yo) : find the velocity and position vectors for t2 0. a(t) = (0,12), (up.Vo) = (0,6), (xo.yo) = (6, -1) What is the velocity vector? v (1) = () Enter your answer in the edit fields and then click Check Answer.14.3.31 Determine whether the following trajectory lies on a circle. If so, find the radius of the circle and show that the position vector and velocity vector are everywhere orthogonal. r(1) = (2 sint+ 213 cost,213 sint - 2 cost) for Ost= 2n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The trajectory lies on a circle with radius 4 . O B. The trajectory does not lie on a circle. What is the velocity vector? v(1) = (0 (Type an exact answer, using radicals as needed.) Enter your answer in the edit fields and then click Check