write it

7) [4pts] Suppose we do not know the path of a hang glider, but only its acceleration vector a(t) = cos(2t)i - 3tj + 2k. We also know that initially (at the time t = 0) the glider departed from the point (7, 0, 0) with velocity v(0) = (0, 0, 0). Find the glider's position as a function of t. 8) a) [Ipt] For the circular motion parametrization(t)i + sin(t)j, find the unit tangent vector T. b) [1pt] For the curve r(t) in part a) what is the curvature k = | |, where 11011 = 1/r' (t)11