1. Each of the following position functions describes the motion of an object along a straight line. Find the velocity and acceleration as functions of t, t E I}. (it) points} a. str}=rB+ at '3. SH] - m Thinking and Inquiry 2. The position function of an object that moves in a straight line is s[t] = 1 + 2: if\". D E t S 2. Calculate the maximum and minimum velocities of the object over the given time interval. f 5' points) 3. Determine the absolute extreme values of f (x) = = * E [1, 5], using the algorithm for finding maximum and minimum values. (5 points) ommunication 4. Discuss the result of maximizing the area of a rectangle, given a fixed perimeter. (5 points)7. Suppose that the cost, in dollars, of manufacturing x items is approximated by C(x) = 625 + 15x + 0.01x2, for 1