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Algebra
Pregunta

A Ferris wheel with radius \( 40 \) feet completes...

A Ferris wheel with radius \( 40 \) feet completes \( 1 \) revolution every \( 60 \) seconds. The lowest point on the wheel is \( 5 \) feet above the ground. 

a) Draw the graph of the situation, starting with a person getting on at the bottom of the wheel at time t=0 seconds. Assume the person get to ride for two revolutions. [6 marks] 

b) Determine an equation (cosine) representing the path of a person on the Ferris wheel. [4 marks] 

c) Determine how high the person will be after riding for \( 40 \) seconds. [2 marks] 

Answer

\(y = 40 \cos ( \frac { 1 } { 3 \pi } x + \pi ) + 45 \) 

\( x = 40 \) 

 

Solución
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