Use the position function s(t) = -16t2 + Vot + So for free-falling objects. A ball is thrown straight down from the top of a 800-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, 3]. ft/s (c) Find the instantaneous velocities, in feet per second, when t = 1 and t = 3. C V(1) = ft / s V(3) = 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 Need Help? Read It