SOLUTION: A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 112 feet per second. The height​ h, in​ feet, of the rocke

Algebra.Com
Question 1147199: A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 112 feet per second. The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h left parenthesis t right parenthesis equals negative 16 t squared plus 112 t plus 8. How long will it take the rocket to reach its maximum​ height? What is the maximum​ height?
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

The formula for the height is


    h(t) = -16t^2 + 112t + 8.


The time to get the maximum height  is  t =  =  =  = 3.5 seconds.


    I refer to the formula  x =   for the general form quadratic function y = ax^2 + bx + c.



The maximum height you can get  by substituting this value of time t= 3.5 seconds into the formula (1)


    h(3.5) = -16*3.5^2 + 112*3.5 + 8.


Use your calculator.

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

To see many other similar solved 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
in this site.

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.


RELATED QUESTIONS

A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground (answered by ikleyn)
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground (answered by ikleyn)
A toy rocket is shot vertically into the air from a launching pad 9 feet above the... (answered by ikleyn)
A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground (answered by mananth,ikleyn)
A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s... (answered by Boreal)
If a projectile is shot vertically into the air (from the ground) with an initial... (answered by Boreal)
A toy rocket is launched vertically upward from ground level with an initial velocity of... (answered by Boreal)
A toy rocket shot vertically upward with an initial velocity of 160 feet per second (fps) (answered by fcabanski)
if a toy rocket is launched vertically upward from ground level with an initial velocity... (answered by lwsshak3)