1.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 8seconds.

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

2.The tide on the Miramachi River has a range of 8m. At t=0, which represents midnight,the tide is at the sinusoidal axis, and att=4 the tide is low.

a) Determine an equation to model the tide afterthours.

b)Sketch a graph of one full tide cycle.

c) How far from the sinusoidal axis is the tide at5 PM?

d) When is the tide at leastmetre below the sinusoidal axis?

3. Your friend is driving his bike when a tack becomes stuck in his tire. The tire has a radius of40cmand makes one complete rotation every0.2s. How high will the tack be above the ground12.32 seconds after becoming lodged in his tire?