The ants of the North Creek Ant Colony traverse a straight trail between their colony and a nearby picnic table. One ant, returning after quenching its thirst with a portion of a tasty beverage dripping from the table, is first observed along the trail 4.5 m from the colony. Then, after traveling a total of 1.8 m while staggering back and forth along the trail, the ant falls unconscious 1.9 m from the colony exactly 43 s later. Defining the entrance of the colony as the origin and the positive direction toward the picnic table, determine the ant's average velocity avg during this time interval.

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