The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If a Ferries wheel makes 1nrevolution every 40 seconds, then the function h ( t ) = 125 sin ( 0.157 t π 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 . During the first 40 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 125 feet above the ground? During the first 80 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 250 feet above the ground? During the first 40 seconds of the ride, over what interval of time t is an individual on the Ferris wheel more than 125 feet above the ground?
The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If a Ferries wheel makes 1nrevolution every 40 seconds, then the function h ( t ) = 125 sin ( 0.157 t π 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 . During the first 40 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 125 feet above the ground? During the first 80 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 250 feet above the ground? During the first 40 seconds of the ride, over what interval of time t is an individual on the Ferris wheel more than 125 feet above the ground?
Solution Summary: The author calculates the time t at which an individual on the Ferris wheel exactly 125 feet above the ground during the first 40 seconds of the ride.
The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If a Ferries wheel makes 1nrevolution every 40 seconds, then the function
h
(
t
)
=
125
sin
(
0.157
t
π
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
.
During the first 40 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 125 feet above the ground?
During the first 80 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 250 feet above the ground?
During the first 40 seconds of the ride, over what interval of time t is an individual on the Ferris wheel more than 125 feet above the ground?
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