Bert is on a Ferris wheel. The radius of the Ferris wheel is 6 metres. Its axle is 7 metres above the ground. It takes 100 seconds to complete one full revolution. Bert enters the Ferris wheel at its lowest height. The ride starts at 0 seconds. Work or explanation must be provided for full marks. Answers involving radians will result in a mark of zero.
a) Sketch a height vs time graph of ONE cycle of Bert’s motion on the ride. Show at least 5 KEY POINTS and label them on your graph.
b) Determine an equation of the sinusoidal function h(t) to represent Bert’s journey, where h represents the height of the Ferris Wheel and t represents the time in seconds.
Choose the MOST appropriate sinusoidal function based on the information provided.