The cup on the 9th hole of a golf course is locateddead center in the middle of a circular green which is 35 feet in radius. Your ball is located asin the picture below. The ball follows a straight line path andexits the green at the right-most edge. Assume the ball travels12 ft/sec. Introducecoordinates so that the cup is the origin of anxy-coordinate system. Provide numerical answers below withtwo decimal places of accuracy.
(a) The x-coordinate of the positionwhere the ball enters the green will be( )
(b) The ball will exit the green exactly( ) seconds afterhitting the ballseconds after hitting the ball
(c) Suppose that L is a line tangentto the boundary of the golf green and parallel to the path of theball. Let Q be the point where the line is tangent to thecircle. Notice that there are two possible positions forQ. Find the possible x-coordinates of Q:
smallest x-coordinate =( )
largest x-coordinate =( )
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 12 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 ballseconds 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 = ( )
Show transcribed image textThe 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 12 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 ballseconds 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 = ( )
