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In: Math

A large wheel is attached to a boat and spins as the boat moves. A rock...

A large wheel is attached to a boat and spins as the boat moves. A rock becomes nudged in the wheel as it spins in the water. It is noticed that at t = 2 s, the rock is at the highest point 3 m above the water. At time t = 6 seconds, the rock is submerged in the water 5 m below the water(the lowest point).

a. Graph 5 points to represent one cycle of the above problem. Label these points clearly on your graph.

b. Determine a cosine model to represent the motion of the wheel.

c. Determine whether the rock was above the water’s surface at t = 0 or below the water’s surface and how far is the rock above or below the water at this time?

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