A silver dollar is dropped from the top of a building that is 1393 feet tall. Use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) Determine the position and velocity functions for the coin. s(t) = v(t) = (b) Determine the average velocity on the interval [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places. ) t = s (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s