The height of a shotput can be modeled by the function: H(t) : 4.9t2 +8t + 1.5 where His the height in metres and tis the time in seconds. 0 a) Graph this function using graphing technology. Ensure your axes are properly set up, and state the domain and range that are appropriate for the situation. At what point do you think the shotput was traveling the fastest? What factors did you use to make your inference? Determine the average rate of change on a short interval near the point you chose. 0 b) Determine the instantaneous rate of change at this point. D C) Are the rates you calculated in a) and b) the same or different? Why do you think this is