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

  • Thread starter Thread starter Abdullah Qureshi
  • Start date Start date
  • Tags Tags
    Quadratic Relation
AI Thread Summary
The golfer's shot can be modeled using the quadratic equation h = -0.01875x^2 + 2.25x, where h represents the height of the ball and x is the horizontal distance from the shot's origin. To determine if the ball clears the tree, the height at x = 40 yards must be calculated. The maximum height of the ball can be found by analyzing the vertex of the quadratic equation. The discussion emphasizes the importance of showing work for each calculation to receive constructive feedback. Overall, the thread focuses on applying quadratic equations to real-world golfing scenarios.
Abdullah Qureshi
Messages
16
Reaction score
0
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
 
Mathematics news on Phys.org
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".
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top