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. Answers may not involve radians. 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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. Answers may not involve radians.
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

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