Answer to Question #43903 in Functional Analysis for Anna

Question

A height of a shotput can be modelled by the function
H = -4.9t2 + 8t + 1.5
where H is the height in metres and t is the time in seconds.

1) At what point do you think the shotput was traveling the fastest? What factors did you use to make your inference?
2) Determine the average rate of change on a short interval near the point you chose in question 1.
3) Estimate the instantaneous rate of change at the point you chose in question 1
4) Were your answers to the average rate of change the same as the instantaneous rate of change, if not why not?