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Trigonometry
Question

Height of a Ferris Wheel Car A model for the heig...

Height of a Ferris Wheel Car A model for the height \(h\) (in feet) of a Ferris wheel car is \(h = 50 + 50 \sin 8 \pi t\) where \(t\) is the time (in minutes). (The Ferris wheel has a radius of \(50\) feet.) This model yields a height of \(50\) feet when \(t = 0\) . Alter the model so that the height of the car is \(1\) foot when \(t = 0\) .

Answer

\(h = 51 - 50 \sin ( 8 \pi t + \frac { \pi } { 2 } )\)

Solution
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