SOLUTION: A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+900t+175. During what time interval will the projectile be more than 9000 feet above the gro

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Question 1196770: A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+900t+175. During what time interval will the projectile be more than 9000 feet above the ground? Round your answer to the nearest hundredth.

Answer by ikleyn(52908) About Me  (Show Source):
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A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+900t+175.
During what time interval will the projectile be more than 9000 feet above the ground?
Round your answer to the nearest hundredth.
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Solve this equation

    −16t2 + 900t + 175 = 9000,

or, equivalently

    16t^2 - 900t + 8825 = 0.


Use the quadratic formula.


Your time interval is between the roots.

You are fully instructed to complete the job on your own.

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At this site,  there are lessons,  where you can find many other similar solved problems
    - Introductory lesson on a projectile thrown-shot-launched vertically up
    - 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

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.