Abox is sliding with a speed of 4.50 m/s on a horizontal surface when, at point p, it encounters a rough section. on the rough section, the coefficient of friction is not constant, but starts at 0.100 at p and increases linearly with distance past p, reaching a value of 0.600 at 12.5 m past point p.
(a) use the work energy theorem to find how far this box slides before stopping.
(b) what is the coefficient of friction at the stopping point?
(c) how far would the box have slid iff the friciton coefficient didn't increase, but instead had the constant value of .1?

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