Eduardo boards a Ferris wheel at the 3 o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 4.4 radians per minute and has a radius of 45 feet.
Let t represent the number of seconds since the Ferris wheel started rotating.
Write an expression (in terms of t) to represent the varying number of radians θ Eduardo has swept out since the Ferris wheel started rotating.
Write a function f(t) that determines Eduardo's distance above the center of the Ferris wheel (in feet) in terms of t.
f(t) =
How long does it take for Eduardo to complete one full revolution on the Ferris wheel?