SOLUTION: a golfer strikes a golf ball with an initial upward velocity of 80 feet per second the function H(t)=16t^2+80t gives the height in feet of the golf ball after t seconds H(t)=16t^2

Algebra.Com
Question 1198165: a golfer strikes a golf ball with an initial upward velocity of 80 feet per second the function H(t)=16t^2+80t gives the height in
feet of the golf ball after t seconds H(t)=16t^2+80t

Found 4 solutions by ewatrrr, MathLover1, ikleyn, Alan3354:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Re: Your Question, flight of ball: H(t)=16t^2+80t
At that flight it will never hit the ground
-----
how long does it take for the golf ball to hit the ground:
IF flight of ball: H(t)= -16t^2+80t
-16t^2 +80t = 0
16t^2 = 80t
t = 80/16 = 5sec

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
->trajectory is a paraola that opens down, so equation should be
for the golf ball to hit the ground=>



or

the golf ball will hit the ground after seconds

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

The formula for the height in your post is written incorrectly two times in a row.


            FATALLY  INCORRECTLY,  it is what I want to say.


I observed it many times in this forum that the students / (the visitors)  write this formula incorrectly.
because they do not understand the meaning of its terms.

So I prepared this text below as a standard introduction to the subject for such students / visitors.

Be calm,  you are in good hands,  and read my post to the very end.


---------------

If you have the formula for a height given to you as a function of time in the form


    h(t) = -at^2 + bt + c,    (1)


where "a", "b" and "c" are real numbers, a > 0, then in this formula



    (a)  the initial height is equal to the coefficient "c" value;


    (b)  the initial velocity is the coefficient  "b" in the formula;


    (c)  the coefficient "a" value is half of the gravity acceleration.

         For the Earth conditions, the gravity acceleration is g = 9.81 m/s^2, or 32 ft/s^2.


         THEREFORE, if you use meters for height, you should use the approximate value of g = 10 m/s^2.

         So, in this case  a =  = 5  (the numerical value).


         ALTERNATIVELY, if you use feet for height, you should use the approximate value of g = 32 ft/s^2.

         So, in this case  a =  = 16  (the numerical value).



    (d)  To find the height at the time moment "t", simply substitute the value of "t" into the formula (1) and calculate.


    (e)  To find the time "t" when the height has a given value h = , substitute  h =  into equation (1)

         and solve equation  


             h(t) = -at^2 + bt + c = .    (2)



    (f)  To find the time when the height is maximal, use the formula


              = .      (3)



    (g)  To find the maximal height, substitute the time value  t=   of the formula (3)  into the formula (1).

That's all you need to know.


        After my explanations,  you can solve the problem on  YOUR  OWN  now,
        but for it,  you should have your governing equation written correctly.


---------------


To see numerous examples of solved problems,  look into the lessons
    - Problem on a projectile moving vertically up and down
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
    - Problem on a toy rocket launched vertically up from a tall platform
in this site.

Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.
Read them attentively and learn how to solve this type of problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Thx for letting us know. But, you didn't ask a question.
RELATED QUESTIONS

A ball is thrown vertically upward with an initial velocity of 80 feet per second. The... (answered by Alan3354,ikleyn)
Please help me with my second to last problem of my homework! I really need help... To... (answered by nerdybill)
Supporting algebraic work must accompany your answers. A ball is thrown vertically... (answered by Alan3354)
A ball is thrown upward with an initial velocity of 24 ft per second. The formula h(t)=... (answered by lwsshak3)
A ball is thrown at an initial height of 7.5 feet with an initial velocity of 130 feet... (answered by TimothyLamb)
An object is thrown upward from the top of a 96 foot building with an initial velocity of (answered by josmiceli)
A ball is thrown vertically upward from the top of a building 96 feet tall with an... (answered by Alan3354)
A ball is thrown vertically upward with an intitial velocity of 100 feet per second. a) (answered by stanbon)
A ball is thrown vertically upward from the top of a building 96 feet tall with an... (answered by ikleyn)