A Ferris wheel is 50 meters in diameter and rotates once every three minutes. The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A Ferris wheel is 50 meters in diameter and rotates once every three minutes. The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel.
1. Find the height of a passenger on the Ferris wheel after each of the following times.
0 minutes =
1 minute and 30 seconds =
3 minutes and 45 seconds
7 minutes =
2. A mathematical model for this motion is given by the formula:
h=a+b-cos-ct (where h = the height of a passenger in meters.)
(t = the time that has elapsed in minutes.)
Find values for a, b, and c that will model this situation.
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