20. [-/12 Points] DETAILS LARCALC11 2.R.027. Use the position function s(t) = -16tz + Vot + so for free-falling objects. A ball is thrown straight down from the top of a 700-foot building with an initial velocity of -40 feet per second. (a) Determine the position and velocity v(t) functions for the ball. s(t) = V(t) (b) Determine the average velocity, in feet per second, on the interval [1, 4]. ft / s (c) Find the instantaneous velocities, in feet per second, when t = 1 and t = 4. V(1) ft/s v(4) = ft/s (d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places. ) (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) ft/s