question archive A ferris wheel has a diameter of 16 m, with a minimum height of 2 m above the ground

A ferris wheel has a diameter of 16 m, with a minimum height of 2 m above the ground

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A ferris wheel has a diameter of 16 m, with a minimum height of 2 m above the ground. It takes 20 seconds for the ferris wheel to complete one rotation. If a rider boards a car when it is at its lowest point:

a) Determine an equation to model the rider's height after t seconds.

b) Sketch a graph of two full revolutions for the rider.

c) Determine the height of the rider after 8 seconds.

d) Determine the first two times the rider reaches a height of 12 metres.

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