Suppose the position function for a free-falling object on a certain planet is given by s(t) = −14t2 + v0t + s0. A silver coin is dropped from the top of a building that is 1, 366 feet tall. Find the time required for the coin to reach ground level. Round your answer to the three decimal places. 2.464 sec 9.878 sec 9.543 sec 2.640 sec 9.320 sec
![A silver dollar is dropped from the top of a building that is 1393 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 [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = 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](https://www.doubtrix.com/uploads/editor/1415542277QUpbdUsFqy.jpg)
![Suppose the position function for a free-falling object on a certain planet is given by s(t) = −16t2 + v0t + s0. A silver coin is dropped from the top of a building that is 1, 362 feet tall. Determine the average velocity of the coin over the time interval [1, 2]. −48 ft/sec −53 ft/sec 16 ft/sec 48 ft/sec −16 ft/sec](https://www.doubtrix.com/uploads/editor/5124434397PtKevxEttr.png)