SOLUTION: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many s      Log On


   

Question 1181132: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many seconds will it take for the ball to reach a height of 64ft in the air?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

To answer the question, you need to solve this quadratic equation

    h(t) = 0,


or

    -16t^2 + 64t = 64.


So, simplify the equation

    t^2 - 4t + 4 = 0

    %28t-2%29%5E2 = 0


and find the root  t = 2.


ANSWER.  In 2 seconds, the height will be 64 feet.

Solved.

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

In this site,  there is a bunch of lessons on a projectile thrown/shot/launched vertically up
    - 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.