Hm
A paint spot X lies on the outer rim of a wheel of a paddle-steamer. The wheel has a radius of 3 mand
as it rotates at a constant rate, 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.
• Sketch a graph of your function
3m
Bottom of the Boat
Water level
Im
Im
Find a cosine model for H in the form H(t)= a cos(b(x-c))+d
. At what time does X first enter the water