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:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step 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.