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Guide for non-golfers: the tee is where the ball is launched from, and the green

ID: 1658015 • 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 11.0 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 from the tee with an initial velocity of 40.0 m/s at an angle of 35.0o 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 e fec o nta (b) What is the horizontal distance from the tee to the hole?

Explanation / Answer

(A) yf - yi = v0 t + a t^2 / 2

0 - 11 = (40 sin35)t - 9.8t^2 /2

4.9 t^2 - 22.9t - 11 = 0

t = 5.11 sec


(B) v0x = 40 cos35

d1 = v0x t = 167.5 m

total distance = 167.5 +5 = 172.4 m