A Ferris wheel with diameter 72 metres rotates at a constant speed. The lowest point on the wheel is 8 metres above the ground, as shown on the following diagram. A seat starts at the lowest point.
The wheel completes one revolution in 12 minutes.
After t minutes, the height, h metres, of the seat above the ground is given by h(t)=acos(bt)+44 , where a,b∈R .
Consider one revolution of the Ferris wheel.