Solve

Position #1 Position #2 Position #3 A . A B B B Note: Figure not drawn to scale 3. The figure shows an overhead view of a canoe with its paddles extended out on both sides of the canoe. Point A and point B are at the end of each paddle. As the occupant in the canoe rows, the position of the two paddles moves from position #1 to position #3 before returning back to position #1. At both position #1 and position #3, the distance between A and B is 5 feet. The greatest distance between A and B occurs at position #2, where A and B are each 6 feet from the dashed centerline of the canoe. At time t = 0 seconds, the paddles are in position #1. The paddles then rotate through position #2 to position #3. At time t = 3 seconds, the paddles reach position #3 for the first time. Then, the paddles rotate and reach position #1 again at time t =6 seconds. As the occupant paddles, the distance between A and B periodically increases and decreases. The sinusoidal function h models the distance between A and B , in feet, as a function of time t, in seconds. (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 (t, h (t)) for the five points F, G, J, K, and P. F P Z. G K (B) The function h can be written in the form h (t) = asin (b(t+c)) +d. Find values of the constants a, b, c, and d