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
p
18
t -
p
2
.
The wheel makes one revolution every 36 seconds. The ride begins when t = 0.
(a) During the first 36 seconds of the ride, when will a person on the Ferris wheel be 53 feet above the ground?
t = s (smaller value)
t = s (larger value)
(b) When will a person be at the top of the Ferris wheel for the first time during the ride?
s
If the ride lasts 180 seconds, how many times will a person be at the top of the ride?
times
At what times?
t = s (smallest value)
t = s
t = s
t = s
t = s (largest value)