\fGiven s(t) = 4t- + 16t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) a(t) c) The velocity and acceleration when t = 2 sec a) v(t) = b) a(t) = c) When t= 2 sec, the velocity is (Simplify your answer.) When t=2 sec, the acceleration is (Simplify your answer.)When an object is dropped on a certain earth-like planet, the distance it falls in t seconds, assuming that air resistance is negligible, is given by s(t) = 18t2 where s(t) is in feet. Suppose that a medic's reflex hammer is dropped from a hovering helicopter. Find (a) how far the hammer falls in 5 sec, (b) how fast the hammer is traveling 5 sec after being dropped, and (c) the hammer's acceleration after it has been falling for 5 sec. (a) The hammer falls feet in 5seconds. (Simplify your answer.) (b) The hammer is traveling fu/sec 5 seconds after being dropped. Simplify your answer.) (c) The hammer's acceleration is ft/sec/sec after it has been falling for 5 sec. Simplify your answer.)