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

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SUMMARY

The golfer's shot can be modeled by the quadratic equation h = -0.01875x² + 2.25x, where h represents the height of the ball and x is the horizontal distance in yards. To determine if the ball clears a tree located 40 yards away, one must evaluate the height at x = 40. The maximum height of the ball occurs at the vertex of the parabola, which can be calculated using the formula x = -b/(2a) from the standard form of a quadratic equation. This analysis is crucial for understanding the trajectory and potential success of the shot.

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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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