The cup on the 9 th hole of a golf course is located dead center in the middle o

Question

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green that is 80 feet in diameter. Your ball is located as in the picture below: (-50, -50)

http://www.chegg.com/homework-help/questions-and-answers/cup-9th-hole-golf-course-located-dead-center-middle-circular-green-40-feet-radius-ball-loc-q3515723 (similar diagram, except the ball is 50ft from the x-axis and 50ft from the y-axis in my problem)

The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels a constant rate of 10 ft/sec. (Let the coordinates of the cup be (x, y) = (0, 0).)

(a) Where does the ball enter the green? (Round your answer to four decimal places.)

(x, y) = ( )

(b) When does the ball enter the green? (Round your answer to two decimal places.)

(c) How long does the ball spend inside the green? (Round your answer to two decimal places.)
sec

(d) Where is the ball located when it is closest to the cup? (Round your answer to four decimal places.)

(x, y) = ( )

When is the ball closest to the cup? (Round your answer to two decimal places.)
sec

Explanation / Answer

answers

(c) for getting the value of the point where the ball is nearest to the green:

1. Draw a perpendicular from the green to the straight path of the line.

2. calculate the length of the perpendicular by using the common angle of the triangle formed by the point where the ball is located initially and point where the ball is leaving the circle. that is

tan A= 50/90

=5/9

A=0.5070 (in radian)

using sin A=x/40

x=19.425

x= 9.4339

y= -30.5661

(d) 5.848sec

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