The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 35 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 10 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system. Provide numerical answers below with two decimal places of accuracy.

(a) The x-coordinate of the position where the ball enters the green will be .

(b) The ball will exit the green exactly seconds after hitting the ball.

(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:

smallest x-coordinate =
largest x-coordinate =