Find the acceleration function a(t) if s(1) = - 2 3t + 2 - 6 O A. (3t + 2)2 6 O B. (3t + 2)2 - 36 O C. (3t + 2)3 18 OD. (3t + 2)3The prot function [in millions) tor a beverage company for the years 2009 through 2016 can be approximated by for) = - 32x2 + Tm=9 corresponds to the year 2009. [a] During what year did a local maximum prot occur'? [b] What was the maximum prot? [a] A local extremum occurs at a critical number of f. Because the derivative exists for every x, the only critical numberts) occur where the derivative is zero. Find the derivative of x) i'le : When an object is dropped straight down, the distance in feet that it falls in t seconds is given by s(t) = - 161", where negative distance (or velocity) indicates downward motion. Find the velocity and acceleration at t = 7. O A. Velocity = - 224 fu/sec; acceleration = - 32 ft/sec- O B. Velocity = - 32 ft/sec; acceleration = - 224 ft/sec- O C. Velocity = - 32 ft/sec; acceleration = 0 ft/sec- O D. Velocity = - 224 ft/sec; acceleration = 0 fu/sec