Worksheet C: (Topic 3.1) Periodic Phenomena Name: Polat A Note: Figure NOT drawn to scale 1. A prize wheel used for a game show has an electronic motor that allows a circular wheel to spin at a constant speed in the clockwise direction until a contestant presses the stop button (not shown). The center of the wheel is 30 inches away from point A. At time.{ =0 seconds, point A is at the lowest spot on the wheel, and the distance between point A and a level table is 15 inches, as shown in the figure. The wheel completes 4 full rotations every second. As the wheel spins, the distance between point A and the level table periodically increases and decreases. The periodic function d models the distance, in inches, between point A and the level table as a function of time ? in seconds, (A) The graph of d 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 (r, d (r)) for the five points: F, G, J, K, and P. (B) Refer to the graph of d in part (A). The r-coordinate of J is t , and the f-coordinate of K is ly. () On the interval (f, (, ), which of the following is true about d ? in alaw. (pip) larmini adi no () a. d is positive and increasing. il ban ovidinog of b. d is positive and decreasing. c. d is negative and increasing. d. d is negative and decreasing. (ii) Describe how the rate of change of d is changing over the interval (r, (, ).lo elton wod odhocall (in) Worksheet C: Topic 3.1 Periodic Phenomena: FRQ 3 Model Created by Bryan Passwater