The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-5.70 107) t 2 + (2.15 105) t, where v is in meters per second and t is in seconds. the acceleration of the bullet just as it leaves the barrel is zero. (a) determine the acceleration and position of the bullet as a function of time when the bullet is in the barrel. (use t as necessary and round all numerical coefficients to exactly 3 significant figures.)

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