Assignment:
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
A. The velocity vector
B. The position vector
Provide complete and step by step solution for the question and show calculations and use formulas.