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In an amusement park. there is a ferris wheel carrying passengers around the rim of the wheel. the circular Ferris wheel has a radius of

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In an amusement park. there is a ferris wheel carrying passengers around the rim of the wheel. the circular Ferris wheel has a radius of 10 metres and is revolving at the rate of 3 radians per minutes. Let y be the vertical distance of the passenger from the centre of the wheel in metres and 6 be the horizontal angle from the centre of the wheel to the passenger in radians. A operator ground In. Find 3! in terms of B. h. Determine how fast a passenger on the wheel is going vertically upwards when the passenger is at point A 6metres higher than the centre of the wheel and is rising. e. The operator of the Ferris wheel stands directly below the centre such that the bottom of the Fen-is wheel is level with his eyeline. As he watches the passenger his line of sight makes an angle a with the horizontal. nd the rate of change of a at point A

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