Imagine you are on a carousel at a carnival. When you first board, the carousel is stationary, and your seat is at its lowest point, $2$ meters above the ground. As the carousel starts spinning, your seat reaches its highest point, $8$ meters above the ground, after $5$ seconds. It takes $6$ seconds for your seat to complete one full rotation. At t$=0,$ you are at the highest position in front of the carousel. Create a cosine function to model your height above the ground as a function of time while riding the carousel. $($In this form: y $=$ acos$($k$($x$-$d$))+$c$),$ And Please Go Into Detail.