In 1893, George Ferris engineered the Ferris Wheel. It was 250 feet in diameter. If the wheel makes 1 revolution every 40 seconds, then h(t) = 125sin[0.157t - (pi/2)] + 125
represents the height h, in feet, of a seat on the wheel as a function of time t, where t is measured in seconds. The ride begins when t = 0.
(A) During the first 40 seconds of the ride, at what time t is a person on the Ferris Wheel exactly 125 feet above the ground?
(B) During the first 40 seconds of the ride, OVER what interval of time t is a person on the Ferris Wheel more than 125 feet above the ground?