The cup on the 9th hole of a golf course is located dead

Last updated: 1/10/2024

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 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 9 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 50 feet ball green 40 feet 9 smallest x coordinate largest x coordinate cup ball path rough a The x coordinate of the position where the ball enters the green will be b The ball will exit the green exactly X seconds after it is hit 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 x X