1) A speeding motorist traveling 30 m/s passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 3 m/s2 . a) How much time will it take for the police officer to reach the speeder? b) What is the velocity of officer when he catches the speeder? c) Plot two graphs, show the displacement vs. time for both motorist and police in one graph and velocity vs. time for both of them in a the other graph.

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