12/14/16, 4(17 PM
4/4 points |
A Ferris wheel of radius 100 feet is rotating at a constant angular speed
rad/sec counterclockwise. Using a stopwatch, the rider
finds it takes
seconds to go from the lowest point on the ride to a point
, which is level with the top of a 44 ft pole. Assume
the lowest point of the ride is 3 feet above ground level.
be the coordinates of the rider at time
seconds; i.e., the parametric equations. Assuming the rider begins
at the lowest point on the wheel, then the parametric equations will have the form:
can be determined from the information given. Provide answers below accurate to 3 decimal places. (Note: We have
imposed a coordinate system so that the center of the ferris wheel is the origin. There are other ways to impose coordinates,
leading to different parametric equations.)
(c) During the first revolution of the wheel, find the times when the rider's height above the ground is 80 feet.
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