A Ferris wheel is 30 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o’clock position (i. e., the bottom) on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h(t) gives your height in meters above the ground t minutes after the wheel begins to turn. a. (6 pts) Find a formula for h(t). b. (4 pts) How high are you off the ground after 5 minutes? (You should be able to evaluate the trig function here. Please do so.) (DO NOT ROUND) c. (5 pts) What is the angular velocity of a passenger in the Ferris wheel, in radians per minute? (DO NOT ROUND) d. (5 pts) What is the linear velocity of a passenger in the Ferris wheel, in meters per second? (DO NOT ROUND) 8
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