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2/21/14, 2:32 PM
Chapter 2.1 HW
Page 6 of 7
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5.4/4 points  Previous AnswersThe cup on the 9thhole of a golf course is located dead center in the middle of a circular green which is 30 feet inradius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at therightmost edge. Assume the ball travels 8 ft/sec. Introduce coordinates so that the cup is the origin of an xycoordinate system. Provide numerical answers below with two decimal places of accuracy.

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(c) Suppose that Lis a line tangent to the boundary of the golf green and parallel to the path of the ball. LetQbe the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Findthe possible xcoordinates of Q:
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2/21/14, 2:32 PM
Chapter 2.1 HW
Page 7 of 7
6.4/4 points  Previous AnswersA Ferris wheel of radius 100 feet is rotating at a constant angular speed ωrad/sec counterclockwise. Using astopwatch, the rider finds it takes 4 seconds to go from the lowest point on the ride to a point Q, which is level withthe top of a 44 ft pole. Assume the lowest point of the ride is 3 feet above ground level.Let Q(t)=(x(t),y(t))be the coordinates of the rider at time tseconds; i.e., the parametric equations. Assuming therider begins at the lowest point on the wheel, then the parametric equations will have the form: x(t)=rcos(ωt