Guide for non-golfers: the tee is where the ball is launched from, and the green
ID: 1658476 • Letter: G
Question
Guide for non-golfers: the tee is where the ball is launched from, and the green is where the golfer wants the ball to land. The green has a hole in it, and the golfer is trying to get the ball to go into the hole. The golfer Inbee Park is at the tee at the 16th hole, a short par 3. The tee is 16.0 m vertically above the level of the green, and some distance horizontally from the hole. Park grabs her 5-iron, and strikes the ball so that it is launched fomthe tee with an initial velocity of 42.0 m/s at an angle of 39.0° above the horizontal. The ball lands on the green at a distance of 5.00 m from the hole, and then, still moving away from the tee, bounces twice, and then rolls right into the hole. The crowd goes crazy-it's a hole in one! Neglect air resistance, and assume that the acceleration due to gravity is 9.80 m/s2 (a) How long does the ball spend in the air? (The time it leaves the tee until it first lands on the green.) Assume the green is perfectly horizontal (b) What is the horizontal distance from the tee to the hole?Explanation / Answer
A) writing second equation of motion in vertical,
16 = - 42 sin 39 degree t +4.9t^2
Solving the equation, t =5.944 s
B) Horizontal distance = v cos theta *t +5
= 42 cos 39 degree *5.944 +5
= 199 m answer
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