1. [3.1] The position of an object can be given by: s(t) = tz(5 - t), ift 2 0. a) Determine the velocity and acceleration at time t. b) When is the acceleration positive? c) After how many seconds does the object stop? d) When does the object return to its initial position? 2. [3.2] If f (x) has an absolute maximum at x = a over an interval, do you expect the derivative at this location f'(a) to have a specific value? Explain