7214 o- .- E '43 SG ..III 54%- 1. Evaluate the limit of the vector valued function below as t 4% a a re'f/t a 3t _. r(t) :4sin(t) 1+ }+k 71' TI 2. Consider the object whose position is given by the vector valued function below. 3 1 a = l 2 J 2t] r0) (n(t)2e H1) (a) Find the velocity function of this object. What is the objects velocity when t = 1? (b) Find the acceleration function of this object. What is its acceleration when t = 1? 3. Find the velocity and position functions of a particle with acceleration fiat) = (2, 6t, 12t2) with initial velocity of 13(0) = (1, 0. 0) and initial position of?(0) = (0, 1, 1) seaoeoeawn III 0 &lt