A weight is suspended from the ceiling by a spring. Let d be the distance in centimeters from the ceiling to the weight. When the weight is motionless, d = 10 cm. If the weight is disturbed, it begins to bob up and down, or oscillate. Then d is a periodic function of t, the time in seconds, so d = f(t). Consider the graph of d = f(t) below, which represents the distance of the weight from the ceiling at time t. 9. M t (see) (a) Based on the graph of d = f(t) above, which of the statements below correctly describes the motion of the weight as it bobs up and down? A. The weight starts closest to the ceiling and begins by stretching the spring down towards the floor. B. The spring starts at its average distance between the ceiling and floor and begins by stretching the spring down towards the floor. C. The weight starts closest to the floor and begins by bouncing up towards the ceiling. OD. None of the above (b) How long does it take the weight to bounce completely up and down (or down and up) and return to its starting position? (Include units in your answer.) (c) What is the closest the weight gets to the ceiling? (Include units in your answer.) (d) What is the furthest the weights gets from the ceiling? (Include units in your answer.) (e) What is the amplitdue of the graph of d = f(t)? (Include units in your answer.) 10, The volume of air contained in the lungs of a certain athlete is modeled by the equation v = 447 sin(47nt) + 866, where t is time in minutes, and u is volume in cubic centimeters. What is the maximum possible volume of air in the athlete's lungs? Maximum volume= cubic centimeters What is the minimum possible volume of air in the athlete's lungs? Minimum volume= cubic centimeters How many breaths does the athlete take per minute? breaths per minute