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# The Ferris wheel has a radius of 7 meters. It makes one revolution every 12 seconds. My arm is at the same level as the bottom of the wheel.

The Ferris wheel has a radius of 7 meters. It makes one revolution every 12 seconds. My arm is at the same level as the bottom of the wheel. The bottom of the ferris wheel is moving towards me and I am standing in the same plane as the Ferris wheel. I am 25 meters from the bottom of the ferris wheel. I throw a baseball at 20 m/s at a 60 degree angle, releasing it at the instant that a person is halfway up the ferris wheel closest to me. The person on the ferris wheel can catch the ball if it comes within 2/3 of a meter of him. Assume that acceleration of gravity equals 9.8 m/s^2 and neglect air resistance.
a) using variables to represent the radius and speed of the ferris wheel, the speed and the angle of the ball and the distance between me on the ground and the boy on the ride, find the distance between the ball and the boy as a function of time.
b) attempt to minimize the distance. what happens when you try to minimize this function?
c) determine whether or not the boy can catch the ball.

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