The position of an object moving along a line is given by the function s(t) = -2t^2 + 14t. Find the average velocity of the object over the following intervals:
(a) [1, 6] (b) [1, 5] (c) [1, 4] (d) [1, 1 + h] where h > 0 is any real number.
(a) The average velocity of the object over the interval [1, 6] is
(b) The average velocity of the object over the interval [1, 5] is
(c) The average velocity of the object over the interval [1, 4] is
(d) The average velocity of the object over the interval [1, 1 + h] is