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 2 O. ( 10 points) a. s(t)=t8+ b. 500:1 t+3 28 , 0 S t S 2. Calculate the t +1 maximum and minimum velocities of the object over the given time interval. (5 points) 2. The position function of an object that moves in a straight line is S(t) = 1 + 2t 3. Determine the absolute extreme values of f (x) = 73, x E [1, 5], using the algorithm for finding maximum x and minimum values. (5 points)4. Discuss the result of maximizing the area of a rectangle, given a fixed perimeter. (5 points)5. State, with reasons, why the maximum/minimum algorithm can or cannot be used to determine the maximum and minimum values of y = x3 - 5x2 + 10, -5