A paint spot X lies on the outer rim of the wheel of a paddle-steamer. The wheel has a radius of 3m. It rotates anticlockwise at a constant rate, and X is seen entering the water every 4 seconds. H is the distance of X above the bottom of the boat. At time t = 0, X is at its highest point. X 3 m Hm water level bottom of the boat a) Find a sine model for H in the form H(t) = Asin(B(t – C)) + D. | b) At what time t does X first enter the water?

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