4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 10 sin [% (t 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 I: 35 s. \\/ (c) Determine the first time that the height is 20 m. V/ (d) When is the next time that this height is reached again? V/