4. The vertical position, h, in meters, of a Ferris wheel, is modelled using the function ()=10 sin (pi/30(5)+12, where t is the time, in seconds.

(a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question.

(b) Calculate the height at 35=ts.

(c) Determine the first time that the height is 20 m.

(d) When is the next time that this height is reached again?

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