Use the position function s(t) = -16t^2 + v0t + s0 for free-falling objects

use the position function s(t) = -16t^2 + v0t + s0 for free-falling objects.
A silver dollar is dropped from the top of a building that is 1362 fee t tall.

a) Determine the position and velocity functions for the coin.
b) Determine the average velocity on the interval [ I, 2].
c) Find the instantaneous velocities when t = 1 and t = 2.
d) Find the time required for the coin to reach ground leve l.
e) Find the velocity of the coin at impact.