At an amusement park, a Ferris wheel with diameter 111 metres rotates at a constant speed. The bottom of the wheel is k metres above the ground. A seat starts at the bottom of the wheel.The wheel completes one revolution in 16 minutes.Aftertminutes, the height of the seat above ground is given by h ( t ) = 61.5 + a cos ( π 8 t ) , for 0≤t≤ 32.

At an amusement park, a Ferris wheel with diameter 111 metres rotates at a constant speed. The bottom of the wheel is k metres above the ground. A seat starts at the bottom of the wheel.

The wheel completes one revolution in 16 minutes.

Aftertminutes, the height of the seat above ground is given by $h\left(t\right)=61.5+a\text{cos}\left(\frac{\pi }{8}t\right)$, for 0≤t≤ 32.