A pendulum of unknown mass is attached to the ceiling and nearly touches the floor as it completes 6 full cycles in 45 s. At its lowest point, the pendulum moves at a speed of 4.15 m/s. part a. What is the height of the ceiling?
part b. What is the maximum height of the pendulum?
part c. If the pendulum were moved to the moon, with a gravitational acceleration of 1.62 m/s2, what would be the resulting frequency?
part d. If the pendulum, back on Earth, were raised to a height of 0.22 m and released, what would be the resulting frequency of the motion?

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