An object is moving forward along a straight line. Let s(t) be the position of the object measured in feet at t minutes. Suppose s(0) = 0. (a) If the object is at 250 feet in 10 minutes, what is the average velocity of the object over the first 10 minutes.
(b) If the object is at 200 feet and its instantaneous velocity is 9 feet per minute at 14 minutes, what is the approximate position of the object at 16 minutes?
(c) If the instantaneous velocity is 15 feet per minute at both 9 minutes and 16 minutes, does that mean the object was traveling at a constant speed from 9 to 16 minutes?