6. A skilled golfer hits a ball so that it just clears the top of a tree and onto an elevated green as shown. The tree is horizontally a distance, x = 18.3 m from the golfer and its height is 10.2 m. a) Determine the golf ball's initial y-velocity so that the maximum height it reaches is the same as the height of the tree. b) Determine the time it takes for the ball to climb to that maximum height c) Using the time information in b, determine the golf ball's initial x-velocity

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Chapter1: Units, Trigonometry. And Vectors
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6. A skilled golfer hits a ball so that it just clears the top
of a tree and onto an elevated green as shown. The tree
is horizontally a distance, x = 18.3 m from the golfer and
its height is 10.2 m.
a) Determine the golf ball's initial y-velocity so that the
maximum height it reaches is the same as the height of
the tree.
b) Determine the time it takes for the ball to climb to that maximum height
c) Using the time information in b, determine the golf ball's initial x-velocity
d) Using your answer to a) and c), determine the magnitude and direction of the golf ball's initial velocity.
e) If the golfer was to hit the ball over level ground so that it went as far as possible, at what angle would he want to hit
the ball? Explain.
Transcribed Image Text:6. A skilled golfer hits a ball so that it just clears the top of a tree and onto an elevated green as shown. The tree is horizontally a distance, x = 18.3 m from the golfer and its height is 10.2 m. a) Determine the golf ball's initial y-velocity so that the maximum height it reaches is the same as the height of the tree. b) Determine the time it takes for the ball to climb to that maximum height c) Using the time information in b, determine the golf ball's initial x-velocity d) Using your answer to a) and c), determine the magnitude and direction of the golf ball's initial velocity. e) If the golfer was to hit the ball over level ground so that it went as far as possible, at what angle would he want to hit the ball? Explain.
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