NO CALCULATOR ALLOWED ErT Clockwise Hour Hand - Note: 1'|j._".11'' not drawn to scale. The figure shows a clock standing on a level floor with a close-up view of the clock face. The clock face has a 10-centimeter-long moving hour hand. The center of the clock face is 200 centimeters from the floor. At time f =0 hours, the hour hand is pointing directly up to the 12. The next time the hour hand points directly up to the 12 is at time t =12 hours. As the hour hand moves, the distance of the endpoint of the hour hand from the floor periodically decreases and increases. The sinusoidal functionh models the distance, in centimeters, of the endpoint of the hour hand from the floor as a function of time in hours. (A) The graph of h and its dashed midline for two full cycles is shown. Five points, F, G, J, K, and P, are labeled on the graph. No scale is indicated, and no axes are presented. Determine possible coordinates [I, h{r)] for the five points: F,G, J, K, and P. JI. .II (B) The functionh can be written in the form h(t)=asin(b(f +c))+d. Find values of constants a,b, c,andd. 3 B 3 B 3 B 3 B 3 . NO CALCULATOR ALLOWED (C) Refer to the graph of hin part (A). The f-coordinate of J is t, and the f-coordinate of K is t,. (i) On the interval (t,:1,)s which of the following is true about h ? a. his positive and increasing. b. his positive and decreasing,. c. h is negative and increasing. d. h is negative and decreasing. (ii) Describe how the rate of change of h is changing on the interval (f,,1,)