suppose that you want to model the height of a rider on a ferris wheel as a function of time, t, in minutes…

suppose that you want to model the height of a rider on a ferris wheel as a function of time, t, in minutes. if the rider is at the bottom of the ferris wheel at t = 0 minutes, which of the following would be easiest to use?\n\nthe cosine function unreflected\nthe sine function unreflected\nthe cosine function reflected about its midline\nthe sine function reflected about its midline

suppose that you want to model the height of a rider on a ferris wheel as a function of time, t, in minutes. if the rider is at the bottom of the ferris wheel at t = 0 minutes, which of the following would be easiest to use?\n\nthe cosine function unreflected\nthe sine function unreflected\nthe cosine function reflected about its midline\nthe sine function reflected about its midline

Answer

Brief Explanations:

The cosine function (y = A\cos(Bt - C)+D) has a maximum value at (t = 0) when (C = 0) and no reflection. To start at the minimum (bottom - of the Ferris - wheel at (t = 0)), we need to reflect the cosine function about its mid - line. The sine function (y=A\sin(Bt - C)+D) has a value of (y = D) at (t = 0) (when (C = 0)) and does not start at a maximum or minimum without additional phase shifts or reflections. Reflecting the cosine function about its mid - line will start it at a minimum value at (t = 0).

Answer:

the cosine function reflected about its midline