Compute all parts of given problem:
Problem: In this problem let the +x-axis be horizontal and the +y-axis be straight up. A rocket is launched from rest on the ground. After 55 s, its speed is 950 m/s in a direction of 75 degrees above the horizontal.
Part A: Find the components of the rocket's velocity vector at that time?
Part B: Find its average acceleration for the first 55 s of flight?
Please show all steps and work to find the components of the rocket's velocity vector at that time.