1) The position function of a crazy cat is s(t)=13 - 1512+ 63t, 0 S t S 8, where s is in metres, and f is in seconds. Consider any positive movement by the cat to be forward. a Find the velocity v(t) and acceleration function a(t) of the crazy cat. 2 b) What is the maximum (farthest) distance that the cat travelled from its initial position? When does the cat reach this point? 5 c) At what time(s) is the cat not accelerating? 2 d) Using your answer from c) and the endpoints of the domain interval, find the cat's maximum velocity. 3