SOLUTION: A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in seconds, is modeled by the equation h(t) = -16t 2 + 64t + 4. Determine the interval of

Algebra ->  Rational-functions -> SOLUTION: A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in seconds, is modeled by the equation h(t) = -16t 2 + 64t + 4. Determine the interval of       Log On


   



Question 1169811: A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in
seconds, is modeled by the equation h(t) = -16t
2 + 64t + 4. Determine the
interval of time when the height of the ball is greater than or equal to 52 feet?

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.

Solve the equation

     -16t^2 + 64t + 4 = 52.


Its roots are time moments when the ball will be at the height of 52 ft above the ground.


Then from the greater root subtract the smaller root.


It will gives you the time interval.

See the lessons
    - 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.