A Ferris wheel is built such that the height $ h $ (in feet) above ground of a seat on the wheel at time $ t $ (in minutes) can be modeled by
$ h(t) = 53 + 50 \sin \left(\dfrac{\pi}{16} t - \dfrac{\pi}{2}\right) $.
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 on the Ferris wheel be $ 53 $ feet above ground?
(b) When will a person be at the top of the Ferris wheel for the first time during the ride? If the ride lasts $ 160 $ seconds, how many times will a person be at the top of the ride, and at what times?