4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 10 sin (1 +10) +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. v (b) Calculate the height at t = 55 s. v (c) Determine the first time that the height is 15 m. vv (d) When is the next time that this height is reached again? v