Question 1107103:
A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h=-16t^2+48+4320.
What is the rocket's maximum height?
How long does it take for the rocket to reach its maximum height?
After it is fired, the rocket reaches the ground at t= sec.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h=-16t^2+48+4320.
=============
How long does it take for the rocket to reach its maximum height?
h=-16t^2+48+4320
h=-16t^2 + 4368
The Max is the vertex of the parabola, at t = -b/2a
b = 0 --? Max = 4368 feet.
======================
After it is fired, the rocket reaches the ground at t= sec.
I'll take your word on that.
Answer by ikleyn(52855)  (Show Source):
You can put this solution on YOUR website! .
A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground,
t seconds after it is fired, is given by h=-16t^2+48+4320.
What is the rocket's maximum height?
How long does it take for the rocket to reach its maximum height?
After it is fired, the rocket reaches the ground at t= sec.
~~~~~~~~~~~~~~~~~~~~~~~~
In the post, you INCORRECTLY presented the height function.
The correct formula is h(t) = -16t^2 + 48t + 4320.
So, double check with your sources.
In this formula, the coefficient at "t" is the initial velocity (the positive direction is vertically up);
the constant term is the initial height of the launch.
--------------
To see many similar solved problems of this type and to learn on how to solve them, 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.
================
And if you REALLY want to benefit from this forum, please / PLEASE / be attentive and accurate when you prepare your post . . .
I understand that EVERYBODY can make a typo - it is not a crime.
But it is your DUTY to look on the text after posting, and if you see an error, then you can edit and fix your post.
Finally and lastly, it is YOUR RESPONSIBILITY to provide a correct input for tutors.
From my side, I think that it is TOO MUCH for the tutor to edit your writing and then to work on the solution.
Nevertheless, I do it from time to time. I do it EACH time when I see interesting problem behind the defective post.
But when the "student" submit very typical / routine problem with errors, my thoughts are:
"If he (or she) is not able to provide the correct input, what is the reason for me to make my efforts ?"
Or even, "what is the reason for me to make my efforts, when I clearly see that on the opposite side the person does understand
NEITHER the problem itself NOR what he (or she) is writing ?"
Or even "if he (or she) doesn't care about it ?"
|
|
|
