SOLUTION: A ball is thrown up into the air. Its height h above the ground in feet is modeled by the equation h = −16t(squared) + 24t + 5, where t is the time in seconds after the ball

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A ball is thrown up into the air. Its height h above the ground in feet is modeled by the equation h = −16t(squared) + 24t + 5, where t is the time in seconds after the ball      Log On


   

Question 1111514: A ball is thrown up into the air. Its height h above the ground in feet is modeled by the equation
h = −16t(squared) + 24t + 5, where t is the time in seconds after the ball is thrown. Complete the square to determine the
ball’s maximum height and the amount of time the ball takes to reach that height. Could this ball land on the
roof of a 20-foot-tall building? Show your work.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you want to learn on how to solve this and similar 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

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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There is another theme closely adjacent to it.

It is finding the maximum/minimum of quadratic functions.

For this theme see the lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in the same online textbook under the topic "Finding minimum/maximum of quadratic functions".

Armed with this technique, you will be a champion in solving these problems !