SOLUTION: Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A ball is thrown vertically upward from a height of 5 feet with an i

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Question 1127401: Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 72 feet per second. How high will the ball go? Round your answer to two decimal places.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Under given condition, the height of the ball over the ground level in feet is described by the quadratic function


    h(t) = .


Its maximum height will be achieved at  t =  =  = 2 seconds and

will be  h(2) =  = 85 ft.


The formula  t =   refers to the general form of a quadratic function


    f(x) = 


with the negative leading coefficient "a'.

See 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

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.


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