Question

On the axes below,sketch two full cycles of your chosen riders Ferris wheel. Adrianes Ferris wheel goes from 10 feet above the ground to a maximum height of 210 feet and completes one revolution every 90 seconds.

Answer 1

Step-by-step explanation

First, we have to draw horizontal lines at the minimum and maximum heights. These are 10 feet and 210 feet, respectively.

Then, we calculate the midline,

`y_m=(210ft+10ft)/(2)=(220ft)/(2)=110ft`

And we have to draw this line too.

As mentioned, the period is the time it takes to do one revolution, which this wheel makes in 90 seconds. Thus, the period is 90 seconds and the first cycle starts at t = 0 and ends at t = 90 s,

Then, we know that the graph is sinusoidal, so we have to draw the first cycle - note that if the period is 90 s, the graph must intersect the midline at 45 seconds,

And finally, draw another cycle just like the first one.