The third-tallest Ferris Wheel in the world is the London Eye in England.The height (in metres) of a rider on the London Eye after t minutes can be described by the function h(t) = 67sin [12(t + 0.0223)] + 70.

a. At what time(s) will the rider be at the bottom of the Ferris wheel?
b. How long does it take for the Ferris wheel to go through one rotation?

1 answer

(a) when sin(12(t + 0.223)) = -1
That is, when 12(t + 0.223) = 3π/2
(b) the period of sin(kt) is 2π/k