SOLUTION: Hello tutors! Here's my question: A rock is thrown. The height of the rock is h=-16t^2+54t+7 at any time, t, measured in seconds. The height is measured in feet. What was the ve

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Question 1107305: Hello tutors!
Here's my question:
A rock is thrown. The height of the rock is h=-16t^2+54t+7 at any time, t, measured in seconds. The height is measured in feet.
What was the vertical distance the rock traveled?
Thank you to anyone that can help!
Amelia Brown

Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
When the parabola is in the form:
, and also when
is negative, as in this case, the formula
for the t-value of the maximum height is:





Plug this value for into the equation
and find
-----------------------
Here is the plot:




Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Amelia,

look into my lessons 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

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.


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