Question: Use the position function s(t) = 16t 2 + v 0 t + s 0 for free-falling objects. A silver dollar is dropped from the

Use the position function s(t) = −16t2 + v0t + s0 for free-falling objects.

A silver dollar is dropped from the top of a building that is 1362 feet tall.

(a) Determine the position and velocity functions for the coin.

(b) Determine the average velocity on the interval [1, 2].

(c) Find the instantaneous velocities when t = 1 and t = 2.

(d) Find the time required for the coin to reach ground level.

(e) Find the velocity of the coin at impact.

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