Hole number 7 at Pebble Beach golf course is one of the shortest championship holes in the world. The hole is only 100m away from the tee, and it is also 12m lower. Champion golfer Shooter McGavin hits a 9-iron at an angle of 50◦ with respect to the horizontal, and lands the ball right in the hole. Assume there is no wind or air resistance, and g = 9.8 m/s^2. (sin 50◦ = 0.766, cos 50◦ = 0.643, tan 50◦ = 1.19, sin 45◦ = 0.707, cos 45◦ = 0.707, tan 45◦ = 1.00). What is the initial velocity of the ball? How long was the ball in the air? What was the maximum height? If Shooter had misjudged the hole, and hit the ball with the same velocity but at an angle of 45◦ instead, by how much would he have overshot the hole?
Hole number 7 at Pebble Beach golf course is one of the shortest championship holes in the world. The hole is only 100m away from the tee, and it is also 12m lower. Champion golfer Shooter McGavin hits a 9-iron at an angle of 50◦ with respect to the horizontal, and lands the ball right in the hole. Assume there is no wind or air resistance, and g = 9.8 m/s^2. (sin 50◦ = 0.766, cos 50◦ = 0.643, tan 50◦ = 1.19, sin 45◦ = 0.707, cos 45◦ = 0.707, tan 45◦ = 1.00).
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What is the initial velocity of the ball? How long was the ball in the air?
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What was the maximum height?
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If Shooter had misjudged the hole, and hit the ball with the same velocity but at an angle of 45◦ instead, by how much would he have overshot the hole?
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