Problem 7. Consider an object traveling along the curve r(t) = (t2, 3t), t 2 0. a. (7 pts) Determine the unit tangent vector T(t) and the principal unit normal vector N(t) for the curve. b. (3 pts) Determine the curvature of the motion as a function of t. Recall the different formulas for K: k(t) = r'(t) x r" (t)ll and k(t) = I' (t) |1 Ir' (t ) 1/ 3 lr' (t) ll c. (5 pts) Determine the tangential and normal components of acceleration