Avariable-length air column is placed just below a vibrating wire that is fixed at both ends. the length of the air column, open at one end, is gradually increased from zero until the first position of resonance is observed at =34.2 cm. the wire is 129 cm long and is vibrating in its third harmonic. if the speed of sound in air is 340 m/s, what is the speed of transverse waves in the wire? assume that the displacement antinode in the air column is exactly at the open end.

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