Due in 11 hours 6 minutes Due Sat 04232016 1100 am A ferris

Due in 11 hours, 6 minutes. Due Sat 04/23/2016 11:00 am A ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o\'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h =f(t). f(t) =

Solution

Time period = 4 min.

maximum height = dia. + platform height = 15 mt

minimum height =  platform height = 5 mt

t= 0 ---- h(t) = 5mt

t = 1 ---- h(t) = 10 mt

t= 2 -----h(t) = 15 mt

So, we can assume a cos function with the above points:

f(t) =10 - 5cos(pi*t/2)