Question

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represent the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?

Answer 1

Answer: 80m got it on edge

Answer 2

Alice reaches 11 metres below the centre as lowest height.

Explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

`h(t) = 11\cdot \cos (12\cdot t)`

Where:

`t` - Time, measured in seconds.

`h(t)` - Height with respect to centre, measured in metres.

If
`\cos (12\cdot t) = -1`, then:

`h_(min) = 11\cdot (-1)`

`h_(min) = -11\,m`

Alice reaches 11 metres below the centre as lowest height.