The maximum height of a Ferris wheel above the ground is 36 metres. The wheel takes 4 minutes to make one complete revolution. Passengers board the Ferris wheel 6 metres above the ground at the bottom of its rotation. a) Plot a rough sketch of the sinusoidal function relating the height of the passenger, h(t), to the time in seconds, t. (b) Determine the equation for h(t). c) How high is the passenger after 35 seconds? d) At what time(s) in the first rotation is the passenger at a height of 26 m.

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The maximum height of a Ferris wheel above the ground is 36 metres. The wheel takes
4 minutes to make one complete revolution. Passengers board the Ferris wheel 6
metres above the ground at the bottom of its rotation.
a) Plot a rough sketch of the sinusoidal function relating the height of the passenger,
h(t), to the time in seconds, t.
(b) Determine the equation for h(t).
c) How high is the passenger after 35 seconds?
d) At what time(s) in the first rotation is the passenger at a height of 26 m.
Transcribed Image Text:The maximum height of a Ferris wheel above the ground is 36 metres. The wheel takes 4 minutes to make one complete revolution. Passengers board the Ferris wheel 6 metres above the ground at the bottom of its rotation. a) Plot a rough sketch of the sinusoidal function relating the height of the passenger, h(t), to the time in seconds, t. (b) Determine the equation for h(t). c) How high is the passenger after 35 seconds? d) At what time(s) in the first rotation is the passenger at a height of 26 m.
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