Question

A person riding a ferris wheel takes 10 minutes to make one complete trip around thewheel. A function in the form y = A cos (Bt) + C can be used to model thissituation. Based on the information given, determine the values of B.

Answer 1

ANSWER

$\frac{\pi}{300}$

EXPLANATION

The function given is a cosine function:

$A\cos (Bt)+C$

From the function, B can be found as:

$B=\frac{2\pi}{P}$

where P represents the period of the function.

The period is given as 10 minutes (600 seconds), which means that we can find B:

$\begin{gathered} B=\frac{2\pi}{600} \\ B=\frac{\pi}{300} \end{gathered}$

That is the value of B.