Page 1 1 of 11 6. A Ferris wheel of diameter 9 m rotates once every 8 seconds. The bottom of the wheel is 1.5 m above the ground. If passengers board the lowest car at the bottom of the wheel, determine a function that models the passenger's height, h, in meters, of the car relative to the ground as a function of the time, t, 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 t = 4.5 s. (c) Determine the first time that the height is 9 m. v v (d) When is the next time that this height is reached again? V