On the moon, all free-fall distance functions are of the form s(t) = 0.81t, where t is in seconds and s is in meters. An object is dropped from a height of 150 meters above the moon. After 9 sec, consider parts (a) through (d) below. a) How far has the object fallen? b) How fast is it traveling? c) What is its acceleration? d) Explain the meaning of the second derivative of this free-fall function. a) The object has fallen m. (Type an integer or decimal rounded to two decimal places as needed.) The function p(t) = 2000t 4t + 75 gives the population p of deer in an area after t months. a) Find p'(17), p'(85), and p'(170). b) Find p''(17), p''(85), and p''(170). c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term? a) p'(17) = (Type an integer or decimal rounded to three decimal places as needed.)