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) = 19t 2 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 3 sec, (b) how fast the hammer is traveling 3 sec after being dropped, and (c) the hammer's acceleration after it has been falling for 3 sec.