2. I would like you to think a bit more about the ball tossed up from the roof of Hodson Science Center. We continue to model its height s (in feet) as a function of time t (in seconds) with the formula s(t) = 64 - 16(t - 1)2. As in the previous homework questions, we consider time t ranging from 0 to 3 seconds. The graph below shows this model function, where the horizontal axis is time (measured in seconds from when the ball is thrown) and the vertical axis is the height of the ball (measured in feet above the ground). We have seen the graph several times now in homework and in class activities. In class, we used an algebra strategy to study the instantaneous velocity at a particular point in time. You read about this strategy in Example 1.1.2 of the textbook. (Make certain to click on the "solution" button for this exercise!) We also used this algebraic strategy in Activity 1 on Friday, September 3rd. a. The average velocity of the ball between time 2 seconds and time 2 + h seconds is (s (2 + h) - s(2) ) (2 +h - 2) where s(t) is the function that we have used to describe the height of the ball. Rewrite this expression using the formula for s(t). (The next step will be to simplify, as we did in class. You do not need to simplify yet.)