Can a Golfer's Shot Be Modeled by a Quadratic Equation?

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Discussion Overview

The discussion revolves around modeling the trajectory of a golfer's shot using a quadratic equation. Participants explore the implications of the equation h = -0.01875x² + 2.25x, focusing on the height of the ball at various distances, the height of an obstacle (a tree), and the maximum height of the shot. The scope includes mathematical reasoning and problem-solving related to a practical scenario in golf.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents the quadratic equation for the shot's path and poses three questions regarding the height of the tree, whether the ball reaches the green, and the maximum height of the ball.
  • Another participant emphasizes the need to use the caret symbol (^) for exponents and suggests substituting specific values for x to find the height h.
  • There is a reiteration of the need to show work for each question to facilitate feedback, with a participant stating they will not provide direct answers.

Areas of Agreement / Disagreement

Participants generally agree on the need to substitute values into the equation to find answers, but there is no consensus on the specific solutions to the posed questions, as some participants are seeking answers while others are encouraging independent work.

Contextual Notes

Some assumptions about the values of x and the context of the shot are not explicitly stated, and the discussion does not resolve the mathematical steps necessary to answer the questions fully.

Who May Find This Useful

This discussion may be useful for students or individuals interested in applying quadratic equations to real-world scenarios, particularly in sports contexts like golf.

Abdullah Qureshi
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A golfer hits a tee shot into the rough and the ball stops approximately 120 yds from the green. There is a tree located 40 yds from the ball, directly in the path of the shot. The golfer decides to try to hit the ball over the tree. The path of the shot can be modeled by the equation h = -0.01875x2 + 2.25x, where h is the height of the ball and x is the horizontal distance in yards from where the second shot is taken. (6T/I, 2C)

i) How tall must the tree be to stop the ball?

ii) Does the golfer hit the green with the shot?

iii) What is the maximum height of the ball and when does it occur
 
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h = -0.01875x^2 + 2.25x
in future, use the caret symbol (^) to indicate an exponent

i) This one is simple ... what value should you use for x?

ii) let x = 120 ... what do you get for h? what does that value tell you?

iii) the solution to ii) should help you determine the max height
 
You understand that ''like" really means "Blast, Skeeter got to it before I did!"
 
skeeter said:
h = -0.01875x^2 + 2.25x
in future, use the caret symbol (^) to indicate an exponent

i) This one is simple ... what value should you use for x?

ii) let x = 120 ... what do you get for h? what does that value tell you?

iii) the solution to ii) should help you determine the max height
What is the answers
 
Abdullah Qureshi said:
What is the answers

You really need to show some effort by posting your work on each question, that way we can provide feedback as to where you are right or wrong.

I will not provide "answers".
 

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