The height h (in feet) above ground of a seat on a Ferris wheel at time t (in minutes) can be modeled by h (t) = 53 + 50 sin (π / 16t - π/2). The wheel makes one revolution every 32 seconds. The ride begins When t = 0.
(a) During the first 32 seconds of the ride, when will a person's seat on the Ferris wheel be 53 feet above ground?
(b) When will a person's seat be at the top of the Ferris wheel for the first time during the ride? For a ride that lasts 160 seconds, how many times will a person's seat be at the top of the ride, and at what times?