A Ferris wheel has a radius of $10$ meters. The bottom of the wheel is $2$ meters above the ground. The wheel, rotating at a constant speed, takes $100$ seconds to complete one revolution. Draw a graph of your function.

A Ferris wheel has a radius of $5$ meters and is $1$ meter above the ground. It takes $2$ minutes to make one complete revolution.

Find a function that models this Ferris wheel.

A Ferris wheel has a radius of $5$ meters and is $1$ meter above the ground. It takes $2$ minutes to make one complete revolution.

Draw graph of your function.

A Ferris wheel has a radius of $5$ meters and is $1$ meter above the ground. It takes $2$ minutes to make one complete revolution.

For which age group do you think this Ferris wheel has been designed?

The graph shows the motion of a tall building as it sways to and fro in the wind.

Determine the period, and explain what it means in this problem.

The graph shows the motion of a tall building as it sways to and fro in the wind.

State the maximum number of centimetres that the tall building sways from its vertical position.

The graph shows the motion of a tall building as it sways to and fro in the wind.

Find a sinusoidal function to model this situation.

A nail is stuck in a car tyre. The height of the nail above the ground varies as the wheel turns and can be modelled by this graph.

Find the period of the graph, and explain what it means in this situation.

A nail is stuck in a car tyre. The height of the nail above the ground varies as the wheel turns and can be modelled by this graph.

Find the amplitude, and explain what it means in this situation.