a man enters a tall tower, needing to know its height. he notes that a long pendulum extends from the ceiling almost to the floor and that its period is 27.5 s.

(a) how tall is the tower?

(b) if this pendulum is taken to the moon, where the free-fall acceleration is 1.67 m/s2, what is the period there?

Asilver dollar is dropped from the top of a building that is 1324 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 [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = 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