Golfer's Putt Challenge: Angle & Displacement

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SUMMARY

The golfer's challenge involves calculating the angle and displacement of her second putt after an initial misalignment. The hole is located 13 m northwest of her starting position, while her first putt travels 13 m at an angle of 39° from due north. To achieve a "two putt green," the angle of the second putt must be determined as south of west, and the magnitude of its displacement must also be calculated. Accurate diagramming is essential for visualizing the problem and simplifying the calculations.

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  • Understanding of vector components and displacement
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Ability to draw and interpret geometric diagrams
  • Familiarity with angles and their measurements in degrees
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  • Learn how to resolve vectors into their components using trigonometry
  • Study the Law of Cosines for calculating angles in non-right triangles
  • Practice drawing accurate geometric diagrams for vector problems
  • Explore displacement calculations in physics, focusing on two-dimensional motion
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Students in physics or mathematics, golf enthusiasts interested in the mechanics of putting, and anyone looking to enhance their problem-solving skills in vector analysis.

p5oct
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A golfer lines up for her first putt at a hole that is 13 m exactly northwest of her ball’s location. She hits the ball 13 m and straight, but at the wrong angle, 39° from due north.
a) In order for the golfer to have a “two putt green,” determine the angle of the second putt.? ___________________°south of west
b) Determine the magnitude of the second putt's displacement. _________________m
 
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p5oct said:
A golfer lines up for her first putt at a hole that is 13 m exactly northwest of her ball’s location. She hits the ball 13 m and straight, but at the wrong angle, 39° from due north.
a) In order for the golfer to have a “two putt green,” determine the angle of the second putt.? ___________________°south of west
b) Determine the magnitude of the second putt's displacement. _________________m

I presume you are after a hint? Draw a diagram - a reasonably accurate diagram!
 


What Peter said. Draw the diagram. The fact that she hit the putt the right distance might help simplify the maths a bit.
 

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