Suppose the position function for a free-falling object on a certain planet is given by s(t) = −11t2 + v0t + s0. A silver coin is dropped from the top of a building that is 1, 378 feet tall. Find velocity of the coin at impact. Round your answer to the three decimal places. −235.236 ft/sec −246.236 ft/sec −257.185 ft/sec −111.364 ft/sec −123.118 ft/sec
![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)
![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)