A ferris wheel is 35 meters in diameter and boarded from a platform that is 3 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 2 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) =

Respuesta :

Given that the Ferris wheel has a diameter of 35 meters and completes one full revolution in 2 minutes, we can basically use the sine function to model its motion.

General form of a sine function (example) would be:

h(t) = Asin(B(t - C)) + D

Now, The equation for f(t) representing the height in meters above the ground at time t minutes after the wheel begins to turn is:

f(t) = 17.5sin (PI symbol/2 t) + 3

Sorry if confusing a bit^ I don’t know how to insert the PI symbol but it would be over 2 & there would be a t next to that